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Finding the Fourth Proportional to 100,232.70, 138,315.31 and 54,902.79

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Solution

The fourth proportional to 100,232.70, 138,315.31 and 54,902.79 is: 75,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232.70 : 138,315.31 = 54,902.79 : x
  2. Step 2: Convert to fraction form
    100,232.70/138,315.31 = 54,902.79/x
  3. Step 3: Cross multiply
    100,232.70x = 138,315.31 × 54,902.79
  4. Step 4: Simplify right side
    100,232.70x = 7,593,896,418.71
  5. Step 5: Solve for x
    x = 7,593,896,418.71/100,232.70
  6. Step 6: Final answer
    x = 75,762.66

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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.