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Finding the Fourth Proportional to 337,902.42, 506,870.40 and 101,222.52

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Solution

The fourth proportional to 337,902.42, 506,870.40 and 101,222.52 is: 151,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,902.42 : 506,870.40 = 101,222.52 : x
  2. Step 2: Convert to fraction form
    337,902.42/506,870.40 = 101,222.52/x
  3. Step 3: Cross multiply
    337,902.42x = 506,870.40 × 101,222.52
  4. Step 4: Simplify right side
    337,902.42x = 51,306,699,201.41
  5. Step 5: Solve for x
    x = 51,306,699,201.41/337,902.42
  6. Step 6: Final answer
    x = 151,838.80

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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.