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Finding the Fourth Proportional to 120,188.30, 180,215.89 and 49,160.81

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Solution

The fourth proportional to 120,188.30, 180,215.89 and 49,160.81 is: 73,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,188.30 : 180,215.89 = 49,160.81 : x
  2. Step 2: Convert to fraction form
    120,188.30/180,215.89 = 49,160.81/x
  3. Step 3: Cross multiply
    120,188.30x = 180,215.89 × 49,160.81
  4. Step 4: Simplify right side
    120,188.30x = 8,859,559,454.91
  5. Step 5: Solve for x
    x = 8,859,559,454.91/120,188.30
  6. Step 6: Final answer
    x = 73,714.00

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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.