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Finding the Fourth Proportional to 132,458.46, 182,787.10 and 75,101.64

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Solution

The fourth proportional to 132,458.46, 182,787.10 and 75,101.64 is: 103,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,458.46 : 182,787.10 = 75,101.64 : x
  2. Step 2: Convert to fraction form
    132,458.46/182,787.10 = 75,101.64/x
  3. Step 3: Cross multiply
    132,458.46x = 182,787.10 × 75,101.64
  4. Step 4: Simplify right side
    132,458.46x = 13,727,610,980.84
  5. Step 5: Solve for x
    x = 13,727,610,980.84/132,458.46
  6. Step 6: Final answer
    x = 103,637.10

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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.