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Finding the Fourth Proportional to 157,232.80, 216,976.35 and 85,612.36

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Solution

The fourth proportional to 157,232.80, 216,976.35 and 85,612.36 is: 118,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,232.80 : 216,976.35 = 85,612.36 : x
  2. Step 2: Convert to fraction form
    157,232.80/216,976.35 = 85,612.36/x
  3. Step 3: Cross multiply
    157,232.80x = 216,976.35 × 85,612.36
  4. Step 4: Simplify right side
    157,232.80x = 18,575,857,387.69
  5. Step 5: Solve for x
    x = 18,575,857,387.69/157,232.80
  6. Step 6: Final answer
    x = 118,142.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.