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Finding the Fourth Proportional to 132,016.06, 182,143.10 and 75,424.06

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Solution

The fourth proportional to 132,016.06, 182,143.10 and 75,424.06 is: 104,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,016.06 : 182,143.10 = 75,424.06 : x
  2. Step 2: Convert to fraction form
    132,016.06/182,143.10 = 75,424.06/x
  3. Step 3: Cross multiply
    132,016.06x = 182,143.10 × 75,424.06
  4. Step 4: Simplify right side
    132,016.06x = 13,737,972,102.99
  5. Step 5: Solve for x
    x = 13,737,972,102.99/132,016.06
  6. Step 6: Final answer
    x = 104,062.89

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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.