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Finding the Fourth Proportional to 120,281.92, 180,562.52 and 70,397.84

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Solution

The fourth proportional to 120,281.92, 180,562.52 and 70,397.84 is: 105,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,281.92 : 180,562.52 = 70,397.84 : x
  2. Step 2: Convert to fraction form
    120,281.92/180,562.52 = 70,397.84/x
  3. Step 3: Cross multiply
    120,281.92x = 180,562.52 × 70,397.84
  4. Step 4: Simplify right side
    120,281.92x = 12,711,211,392.96
  5. Step 5: Solve for x
    x = 12,711,211,392.96/120,281.92
  6. Step 6: Final answer
    x = 105,678.49

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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.