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Finding the Fourth Proportional to 100,276.80, 138,358.98 and 59,984.16

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Solution

The fourth proportional to 100,276.80, 138,358.98 and 59,984.16 is: 82,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,276.80 : 138,358.98 = 59,984.16 : x
  2. Step 2: Convert to fraction form
    100,276.80/138,358.98 = 59,984.16/x
  3. Step 3: Cross multiply
    100,276.80x = 138,358.98 × 59,984.16
  4. Step 4: Simplify right side
    100,276.80x = 8,299,347,193.76
  5. Step 5: Solve for x
    x = 8,299,347,193.76/100,276.80
  6. Step 6: Final answer
    x = 82,764.38

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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.