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Finding the Fourth Proportional to 337,814.20, 506,692.14 and 101,209.96

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Solution

The fourth proportional to 337,814.20, 506,692.14 and 101,209.96 is: 151,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,814.20 : 506,692.14 = 101,209.96 : x
  2. Step 2: Convert to fraction form
    337,814.20/506,692.14 = 101,209.96/x
  3. Step 3: Cross multiply
    337,814.20x = 506,692.14 × 101,209.96
  4. Step 4: Simplify right side
    337,814.20x = 51,282,291,221.71
  5. Step 5: Solve for x
    x = 51,282,291,221.71/337,814.20
  6. Step 6: Final answer
    x = 151,806.20

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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.