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Finding the Fourth Proportional to 157,233.36, 216,976.98 and 85,612.80

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Solution

The fourth proportional to 157,233.36, 216,976.98 and 85,612.80 is: 118,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233.36 : 216,976.98 = 85,612.80 : x
  2. Step 2: Convert to fraction form
    157,233.36/216,976.98 = 85,612.80/x
  3. Step 3: Cross multiply
    157,233.36x = 216,976.98 × 85,612.80
  4. Step 4: Simplify right side
    157,233.36x = 18,576,006,793.34
  5. Step 5: Solve for x
    x = 18,576,006,793.34/157,233.36
  6. Step 6: Final answer
    x = 118,142.91

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1.5x scale

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.