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Finding the Fourth Proportional to 120,078.50, 180,061.17 and 70,172.96

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Solution

The fourth proportional to 120,078.50, 180,061.17 and 70,172.96 is: 105,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.50 : 180,061.17 = 70,172.96 : x
  2. Step 2: Convert to fraction form
    120,078.50/180,061.17 = 70,172.96/x
  3. Step 3: Cross multiply
    120,078.50x = 180,061.17 × 70,172.96
  4. Step 4: Simplify right side
    120,078.50x = 12,635,425,279.96
  5. Step 5: Solve for x
    x = 12,635,425,279.96/120,078.50
  6. Step 6: Final answer
    x = 105,226.38

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Why These Related Problems?

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