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Finding the Fourth Proportional to 132,094.71, 182,290.68 and 75,507.30

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Solution

The fourth proportional to 132,094.71, 182,290.68 and 75,507.30 is: 104,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,094.71 : 182,290.68 = 75,507.30 : x
  2. Step 2: Convert to fraction form
    132,094.71/182,290.68 = 75,507.30/x
  3. Step 3: Cross multiply
    132,094.71x = 182,290.68 × 75,507.30
  4. Step 4: Simplify right side
    132,094.71x = 13,764,277,061.96
  5. Step 5: Solve for x
    x = 13,764,277,061.96/132,094.71
  6. Step 6: Final answer
    x = 104,200.06

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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.