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Finding the Fourth Proportional to 310,052.70, 465,079.05 and 99,711.90

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Solution

The fourth proportional to 310,052.70, 465,079.05 and 99,711.90 is: 149,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,052.70 : 465,079.05 = 99,711.90 : x
  2. Step 2: Convert to fraction form
    310,052.70/465,079.05 = 99,711.90/x
  3. Step 3: Cross multiply
    310,052.70x = 465,079.05 × 99,711.90
  4. Step 4: Simplify right side
    310,052.70x = 46,373,915,725.70
  5. Step 5: Solve for x
    x = 46,373,915,725.70/310,052.70
  6. Step 6: Final answer
    x = 149,567.85

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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.