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Finding the Fourth Proportional to 201,204,932.40, 301,807,398.60 and 142,754,295.60

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Solution

The fourth proportional to 201,204,932.40, 301,807,398.60 and 142,754,295.60 is: 214,131,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,932.40 : 301,807,398.60 = 142,754,295.60 : x
  2. Step 2: Convert to fraction form
    201,204,932.40/301,807,398.60 = 142,754,295.60/x
  3. Step 3: Cross multiply
    201,204,932.40x = 301,807,398.60 × 142,754,295.60
  4. Step 4: Simplify right side
    201,204,932.40x = 43,084,302,594,011,424
  5. Step 5: Solve for x
    x = 43,084,302,594,011,424/201,204,932.40
  6. Step 6: Final answer
    x = 214,131,443.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.