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Finding the Fourth Proportional to 132,051, 182,230.68 and 75,462.24

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Solution

The fourth proportional to 132,051, 182,230.68 and 75,462.24 is: 104,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051 : 182,230.68 = 75,462.24 : x
  2. Step 2: Convert to fraction form
    132,051/182,230.68 = 75,462.24/x
  3. Step 3: Cross multiply
    132,051x = 182,230.68 × 75,462.24
  4. Step 4: Simplify right side
    132,051x = 13,751,535,309.52
  5. Step 5: Solve for x
    x = 13,751,535,309.52/132,051
  6. Step 6: Final answer
    x = 104,138.06

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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.