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Finding the Fourth Proportional to 152,866.80, 229,300.20 and 147,034.80

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Solution

The fourth proportional to 152,866.80, 229,300.20 and 147,034.80 is: 220,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,866.80 : 229,300.20 = 147,034.80 : x
  2. Step 2: Convert to fraction form
    152,866.80/229,300.20 = 147,034.80/x
  3. Step 3: Cross multiply
    152,866.80x = 229,300.20 × 147,034.80
  4. Step 4: Simplify right side
    152,866.80x = 33,715,109,046.96
  5. Step 5: Solve for x
    x = 33,715,109,046.96/152,866.80
  6. Step 6: Final answer
    x = 220,552.20

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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.