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Finding the Fourth Proportional to 123,434.42, 170,342.61 and 75,714.08

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Solution

The fourth proportional to 123,434.42, 170,342.61 and 75,714.08 is: 104,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,434.42 : 170,342.61 = 75,714.08 : x
  2. Step 2: Convert to fraction form
    123,434.42/170,342.61 = 75,714.08/x
  3. Step 3: Cross multiply
    123,434.42x = 170,342.61 × 75,714.08
  4. Step 4: Simplify right side
    123,434.42x = 12,897,334,000.95
  5. Step 5: Solve for x
    x = 12,897,334,000.95/123,434.42
  6. Step 6: Final answer
    x = 104,487.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.