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Finding the Fourth Proportional to 118,220.80, 176,819.20 and 105,830.40

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Solution

The fourth proportional to 118,220.80, 176,819.20 and 105,830.40 is: 158,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,220.80 : 176,819.20 = 105,830.40 : x
  2. Step 2: Convert to fraction form
    118,220.80/176,819.20 = 105,830.40/x
  3. Step 3: Cross multiply
    118,220.80x = 176,819.20 × 105,830.40
  4. Step 4: Simplify right side
    118,220.80x = 18,712,846,663.68
  5. Step 5: Solve for x
    x = 18,712,846,663.68/118,220.80
  6. Step 6: Final answer
    x = 158,287.26

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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.