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Finding the Fourth Proportional to 118,590.68, 177,888.61 and 47,546.78

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Solution

The fourth proportional to 118,590.68, 177,888.61 and 47,546.78 is: 71,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,590.68 : 177,888.61 = 47,546.78 : x
  2. Step 2: Convert to fraction form
    118,590.68/177,888.61 = 47,546.78/x
  3. Step 3: Cross multiply
    118,590.68x = 177,888.61 × 47,546.78
  4. Step 4: Simplify right side
    118,590.68x = 8,458,029,774.17
  5. Step 5: Solve for x
    x = 8,458,029,774.17/118,590.68
  6. Step 6: Final answer
    x = 71,321.20

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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.