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Finding the Fourth Proportional to 201,443.80, 301,837.65 and 148,299.70

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Solution

The fourth proportional to 201,443.80, 301,837.65 and 148,299.70 is: 222,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,443.80 : 301,837.65 = 148,299.70 : x
  2. Step 2: Convert to fraction form
    201,443.80/301,837.65 = 148,299.70/x
  3. Step 3: Cross multiply
    201,443.80x = 301,837.65 × 148,299.70
  4. Step 4: Simplify right side
    201,443.80x = 44,762,432,943.71
  5. Step 5: Solve for x
    x = 44,762,432,943.71/201,443.80
  6. Step 6: Final answer
    x = 222,208.04

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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.