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Finding the Fourth Proportional to 120,357.68, 180,565.36 and 37,251.68

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Solution

The fourth proportional to 120,357.68, 180,565.36 and 37,251.68 is: 55,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,357.68 : 180,565.36 = 37,251.68 : x
  2. Step 2: Convert to fraction form
    120,357.68/180,565.36 = 37,251.68/x
  3. Step 3: Cross multiply
    120,357.68x = 180,565.36 × 37,251.68
  4. Step 4: Simplify right side
    120,357.68x = 6,726,363,009.80
  5. Step 5: Solve for x
    x = 6,726,363,009.80/120,357.68
  6. Step 6: Final answer
    x = 55,886.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.