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Finding the Fourth Proportional to 118,865.88, 178,294.50 and 47,810.52

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Solution

The fourth proportional to 118,865.88, 178,294.50 and 47,810.52 is: 71,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,865.88 : 178,294.50 = 47,810.52 : x
  2. Step 2: Convert to fraction form
    118,865.88/178,294.50 = 47,810.52/x
  3. Step 3: Cross multiply
    118,865.88x = 178,294.50 × 47,810.52
  4. Step 4: Simplify right side
    118,865.88x = 8,524,352,758.14
  5. Step 5: Solve for x
    x = 8,524,352,758.14/118,865.88
  6. Step 6: Final answer
    x = 71,714.04

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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.