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Finding the Fourth Proportional to 201,250.40, 301,875.60 and 142,201.40

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Solution

The fourth proportional to 201,250.40, 301,875.60 and 142,201.40 is: 213,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,250.40 : 301,875.60 = 142,201.40 : x
  2. Step 2: Convert to fraction form
    201,250.40/301,875.60 = 142,201.40/x
  3. Step 3: Cross multiply
    201,250.40x = 301,875.60 × 142,201.40
  4. Step 4: Simplify right side
    201,250.40x = 42,927,132,945.84
  5. Step 5: Solve for x
    x = 42,927,132,945.84/201,250.40
  6. Step 6: Final answer
    x = 213,302.10

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Why These Related Problems?

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