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Finding the Fourth Proportional to 137,777.46, 206,667.30 and 37,943.16

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Solution

The fourth proportional to 137,777.46, 206,667.30 and 37,943.16 is: 56,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,777.46 : 206,667.30 = 37,943.16 : x
  2. Step 2: Convert to fraction form
    137,777.46/206,667.30 = 37,943.16/x
  3. Step 3: Cross multiply
    137,777.46x = 206,667.30 × 37,943.16
  4. Step 4: Simplify right side
    137,777.46x = 7,841,610,430.67
  5. Step 5: Solve for x
    x = 7,841,610,430.67/137,777.46
  6. Step 6: Final answer
    x = 56,915.05

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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.