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Finding the Fourth Proportional to 120,370.94, 180,473.18 and 52,870.40

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Solution

The fourth proportional to 120,370.94, 180,473.18 and 52,870.40 is: 79,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,370.94 : 180,473.18 = 52,870.40 : x
  2. Step 2: Convert to fraction form
    120,370.94/180,473.18 = 52,870.40/x
  3. Step 3: Cross multiply
    120,370.94x = 180,473.18 × 52,870.40
  4. Step 4: Simplify right side
    120,370.94x = 9,541,688,049.15
  5. Step 5: Solve for x
    x = 9,541,688,049.15/120,370.94
  6. Step 6: Final answer
    x = 79,269.04

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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.