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Finding the Fourth Proportional to 149,807.40, 224,711.10 and 134,773.80

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Solution

The fourth proportional to 149,807.40, 224,711.10 and 134,773.80 is: 202,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,807.40 : 224,711.10 = 134,773.80 : x
  2. Step 2: Convert to fraction form
    149,807.40/224,711.10 = 134,773.80/x
  3. Step 3: Cross multiply
    149,807.40x = 224,711.10 × 134,773.80
  4. Step 4: Simplify right side
    149,807.40x = 30,285,168,849.18
  5. Step 5: Solve for x
    x = 30,285,168,849.18/149,807.40
  6. Step 6: Final answer
    x = 202,160.70

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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.