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Finding the Fourth Proportional to 132,457.32, 182,785.54 and 75,100.50

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Solution

The fourth proportional to 132,457.32, 182,785.54 and 75,100.50 is: 103,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,457.32 : 182,785.54 = 75,100.50 : x
  2. Step 2: Convert to fraction form
    132,457.32/182,785.54 = 75,100.50/x
  3. Step 3: Cross multiply
    132,457.32x = 182,785.54 × 75,100.50
  4. Step 4: Simplify right side
    132,457.32x = 13,727,285,446.77
  5. Step 5: Solve for x
    x = 13,727,285,446.77/132,457.32
  6. Step 6: Final answer
    x = 103,635.54

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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.