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Finding the Fourth Proportional to 114,227.60, 157,611.76 and 71,761.60

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Solution

The fourth proportional to 114,227.60, 157,611.76 and 71,761.60 is: 99,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,227.60 : 157,611.76 = 71,761.60 : x
  2. Step 2: Convert to fraction form
    114,227.60/157,611.76 = 71,761.60/x
  3. Step 3: Cross multiply
    114,227.60x = 157,611.76 × 71,761.60
  4. Step 4: Simplify right side
    114,227.60x = 11,310,472,076.42
  5. Step 5: Solve for x
    x = 11,310,472,076.42/114,227.60
  6. Step 6: Final answer
    x = 99,016.98

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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.