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Finding the Fourth Proportional to 120,175.85, 180,248.09 and 31,436.17

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Solution

The fourth proportional to 120,175.85, 180,248.09 and 31,436.17 is: 47,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,175.85 : 180,248.09 = 31,436.17 : x
  2. Step 2: Convert to fraction form
    120,175.85/180,248.09 = 31,436.17/x
  3. Step 3: Cross multiply
    120,175.85x = 180,248.09 × 31,436.17
  4. Step 4: Simplify right side
    120,175.85x = 5,666,308,991.61
  5. Step 5: Solve for x
    x = 5,666,308,991.61/120,175.85
  6. Step 6: Final answer
    x = 47,150.15

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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.