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Finding the Fourth Proportional to 261,754.66, 392,748.63 and 137,066.50

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Solution

The fourth proportional to 261,754.66, 392,748.63 and 137,066.50 is: 205,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,754.66 : 392,748.63 = 137,066.50 : x
  2. Step 2: Convert to fraction form
    261,754.66/392,748.63 = 137,066.50/x
  3. Step 3: Cross multiply
    261,754.66x = 392,748.63 × 137,066.50
  4. Step 4: Simplify right side
    261,754.66x = 53,832,680,093.90
  5. Step 5: Solve for x
    x = 53,832,680,093.90/261,754.66
  6. Step 6: Final answer
    x = 205,660.83

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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.