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Finding the Fourth Proportional to 131,978.38, 182,087.36 and 74,612.16

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Solution

The fourth proportional to 131,978.38, 182,087.36 and 74,612.16 is: 102,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,978.38 : 182,087.36 = 74,612.16 : x
  2. Step 2: Convert to fraction form
    131,978.38/182,087.36 = 74,612.16/x
  3. Step 3: Cross multiply
    131,978.38x = 182,087.36 × 74,612.16
  4. Step 4: Simplify right side
    131,978.38x = 13,585,931,238.30
  5. Step 5: Solve for x
    x = 13,585,931,238.30/131,978.38
  6. Step 6: Final answer
    x = 102,940.58

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Why These Related Problems?

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