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Finding the Fourth Proportional to 152,809.80, 229,473.20 and 99,592.20

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Solution

The fourth proportional to 152,809.80, 229,473.20 and 99,592.20 is: 149,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.80 : 229,473.20 = 99,592.20 : x
  2. Step 2: Convert to fraction form
    152,809.80/229,473.20 = 99,592.20/x
  3. Step 3: Cross multiply
    152,809.80x = 229,473.20 × 99,592.20
  4. Step 4: Simplify right side
    152,809.80x = 22,853,740,829.04
  5. Step 5: Solve for x
    x = 22,853,740,829.04/152,809.80
  6. Step 6: Final answer
    x = 149,556.77

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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.