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Finding the Fourth Proportional to 132,070.14, 182,212.47 and 75,441.42

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Solution

The fourth proportional to 132,070.14, 182,212.47 and 75,441.42 is: 104,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,070.14 : 182,212.47 = 75,441.42 : x
  2. Step 2: Convert to fraction form
    132,070.14/182,212.47 = 75,441.42/x
  3. Step 3: Cross multiply
    132,070.14x = 182,212.47 × 75,441.42
  4. Step 4: Simplify right side
    132,070.14x = 13,746,367,478.51
  5. Step 5: Solve for x
    x = 13,746,367,478.51/132,070.14
  6. Step 6: Final answer
    x = 104,083.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.