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Finding the Fourth Proportional to 132,458, 182,786.47 and 75,101.18

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Solution

The fourth proportional to 132,458, 182,786.47 and 75,101.18 is: 103,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,458 : 182,786.47 = 75,101.18 : x
  2. Step 2: Convert to fraction form
    132,458/182,786.47 = 75,101.18/x
  3. Step 3: Cross multiply
    132,458x = 182,786.47 × 75,101.18
  4. Step 4: Simplify right side
    132,458x = 13,727,479,585.03
  5. Step 5: Solve for x
    x = 13,727,479,585.03/132,458
  6. Step 6: Final answer
    x = 103,636.47

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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.