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Finding the Fourth Proportional to 120,805.10, 181,207.65 and 78,814.70

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Solution

The fourth proportional to 120,805.10, 181,207.65 and 78,814.70 is: 118,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.10 : 181,207.65 = 78,814.70 : x
  2. Step 2: Convert to fraction form
    120,805.10/181,207.65 = 78,814.70/x
  3. Step 3: Cross multiply
    120,805.10x = 181,207.65 × 78,814.70
  4. Step 4: Simplify right side
    120,805.10x = 14,281,826,572.46
  5. Step 5: Solve for x
    x = 14,281,826,572.46/120,805.10
  6. Step 6: Final answer
    x = 118,222.05

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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.