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Finding the Fourth Proportional to 140,117.28, 193,361.85 and 89,816.28

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Solution

The fourth proportional to 140,117.28, 193,361.85 and 89,816.28 is: 123,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,117.28 : 193,361.85 = 89,816.28 : x
  2. Step 2: Convert to fraction form
    140,117.28/193,361.85 = 89,816.28/x
  3. Step 3: Cross multiply
    140,117.28x = 193,361.85 × 89,816.28
  4. Step 4: Simplify right side
    140,117.28x = 17,367,042,060.92
  5. Step 5: Solve for x
    x = 17,367,042,060.92/140,117.28
  6. Step 6: Final answer
    x = 123,946.47

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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.