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Finding the Fourth Proportional to 347,065.40, 520,727.70 and 136,849.88

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Solution

The fourth proportional to 347,065.40, 520,727.70 and 136,849.88 is: 205,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,065.40 : 520,727.70 = 136,849.88 : x
  2. Step 2: Convert to fraction form
    347,065.40/520,727.70 = 136,849.88/x
  3. Step 3: Cross multiply
    347,065.40x = 520,727.70 × 136,849.88
  4. Step 4: Simplify right side
    347,065.40x = 71,261,523,257.68
  5. Step 5: Solve for x
    x = 71,261,523,257.68/347,065.40
  6. Step 6: Final answer
    x = 205,325.92

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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.