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Finding the Fourth Proportional to 120,178.86, 180,252.59 and 31,439.18

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Solution

The fourth proportional to 120,178.86, 180,252.59 and 31,439.18 is: 47,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.86 : 180,252.59 = 31,439.18 : x
  2. Step 2: Convert to fraction form
    120,178.86/180,252.59 = 31,439.18/x
  3. Step 3: Cross multiply
    120,178.86x = 180,252.59 × 31,439.18
  4. Step 4: Simplify right side
    120,178.86x = 5,666,992,564.02
  5. Step 5: Solve for x
    x = 5,666,992,564.02/120,178.86
  6. Step 6: Final answer
    x = 47,154.65

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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.