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Finding the Fourth Proportional to 132,031.50, 182,203.74 and 75,442.74

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Solution

The fourth proportional to 132,031.50, 182,203.74 and 75,442.74 is: 104,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,031.50 : 182,203.74 = 75,442.74 : x
  2. Step 2: Convert to fraction form
    132,031.50/182,203.74 = 75,442.74/x
  3. Step 3: Cross multiply
    132,031.50x = 182,203.74 × 75,442.74
  4. Step 4: Simplify right side
    132,031.50x = 13,745,949,383.85
  5. Step 5: Solve for x
    x = 13,745,949,383.85/132,031.50
  6. Step 6: Final answer
    x = 104,111.14

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1.5x scale

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.