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Finding the Fourth Proportional to 337,654.80, 506,409.30 and 148,114.80

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Solution

The fourth proportional to 337,654.80, 506,409.30 and 148,114.80 is: 222,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,654.80 : 506,409.30 = 148,114.80 : x
  2. Step 2: Convert to fraction form
    337,654.80/506,409.30 = 148,114.80/x
  3. Step 3: Cross multiply
    337,654.80x = 506,409.30 × 148,114.80
  4. Step 4: Simplify right side
    337,654.80x = 75,006,712,187.64
  5. Step 5: Solve for x
    x = 75,006,712,187.64/337,654.80
  6. Step 6: Final answer
    x = 222,140.22

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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.