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Finding the Fourth Proportional to 118,098.40, 177,169.20 and 47,984.80

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Solution

The fourth proportional to 118,098.40, 177,169.20 and 47,984.80 is: 71,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098.40 : 177,169.20 = 47,984.80 : x
  2. Step 2: Convert to fraction form
    118,098.40/177,169.20 = 47,984.80/x
  3. Step 3: Cross multiply
    118,098.40x = 177,169.20 × 47,984.80
  4. Step 4: Simplify right side
    118,098.40x = 8,501,428,628.16
  5. Step 5: Solve for x
    x = 8,501,428,628.16/118,098.40
  6. Step 6: Final answer
    x = 71,985.98

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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.