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Finding the Fourth Proportional to 102,177.98, 140,984.46 and 59,728.28

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Solution

The fourth proportional to 102,177.98, 140,984.46 and 59,728.28 is: 82,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,177.98 : 140,984.46 = 59,728.28 : x
  2. Step 2: Convert to fraction form
    102,177.98/140,984.46 = 59,728.28/x
  3. Step 3: Cross multiply
    102,177.98x = 140,984.46 × 59,728.28
  4. Step 4: Simplify right side
    102,177.98x = 8,420,759,302.53
  5. Step 5: Solve for x
    x = 8,420,759,302.53/102,177.98
  6. Step 6: Final answer
    x = 82,412.66

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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.