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Finding the Fourth Proportional to 172,965.60, 260,031.60 and 147,304.80

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Solution

The fourth proportional to 172,965.60, 260,031.60 and 147,304.80 is: 221,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,965.60 : 260,031.60 = 147,304.80 : x
  2. Step 2: Convert to fraction form
    172,965.60/260,031.60 = 147,304.80/x
  3. Step 3: Cross multiply
    172,965.60x = 260,031.60 × 147,304.80
  4. Step 4: Simplify right side
    172,965.60x = 38,303,902,831.68
  5. Step 5: Solve for x
    x = 38,303,902,831.68/172,965.60
  6. Step 6: Final answer
    x = 221,453.88

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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.