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Finding the Fourth Proportional to 132,031, 182,203.05 and 75,442.24

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Solution

The fourth proportional to 132,031, 182,203.05 and 75,442.24 is: 104,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,031 : 182,203.05 = 75,442.24 : x
  2. Step 2: Convert to fraction form
    132,031/182,203.05 = 75,442.24/x
  3. Step 3: Cross multiply
    132,031x = 182,203.05 × 75,442.24
  4. Step 4: Simplify right side
    132,031x = 13,745,806,226.83
  5. Step 5: Solve for x
    x = 13,745,806,226.83/132,031
  6. Step 6: Final answer
    x = 104,110.45

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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.