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Finding the Fourth Proportional to 120,405.72, 180,549.03 and 70,498.38

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Solution

The fourth proportional to 120,405.72, 180,549.03 and 70,498.38 is: 105,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.72 : 180,549.03 = 70,498.38 : x
  2. Step 2: Convert to fraction form
    120,405.72/180,549.03 = 70,498.38/x
  3. Step 3: Cross multiply
    120,405.72x = 180,549.03 × 70,498.38
  4. Step 4: Simplify right side
    120,405.72x = 12,728,414,125.57
  5. Step 5: Solve for x
    x = 12,728,414,125.57/120,405.72
  6. Step 6: Final answer
    x = 105,712.70

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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.