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Finding the Fourth Proportional to 152,275.20, 227,764.80 and 136,593.60

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Solution

The fourth proportional to 152,275.20, 227,764.80 and 136,593.60 is: 204,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,275.20 : 227,764.80 = 136,593.60 : x
  2. Step 2: Convert to fraction form
    152,275.20/227,764.80 = 136,593.60/x
  3. Step 3: Cross multiply
    152,275.20x = 227,764.80 × 136,593.60
  4. Step 4: Simplify right side
    152,275.20x = 31,111,213,985.28
  5. Step 5: Solve for x
    x = 31,111,213,985.28/152,275.20
  6. Step 6: Final answer
    x = 204,309.13

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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.