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Finding the Fourth Proportional to 337,741.88, 506,425.62 and 138,202.16

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Solution

The fourth proportional to 337,741.88, 506,425.62 and 138,202.16 is: 207,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,741.88 : 506,425.62 = 138,202.16 : x
  2. Step 2: Convert to fraction form
    337,741.88/506,425.62 = 138,202.16/x
  3. Step 3: Cross multiply
    337,741.88x = 506,425.62 × 138,202.16
  4. Step 4: Simplify right side
    337,741.88x = 69,989,114,563.34
  5. Step 5: Solve for x
    x = 69,989,114,563.34/337,741.88
  6. Step 6: Final answer
    x = 207,226.64

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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.