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Finding the Fourth Proportional to 100,231.61, 138,267.17 and 61,978.93

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Solution

The fourth proportional to 100,231.61, 138,267.17 and 61,978.93 is: 85,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,231.61 : 138,267.17 = 61,978.93 : x
  2. Step 2: Convert to fraction form
    100,231.61/138,267.17 = 61,978.93/x
  3. Step 3: Cross multiply
    100,231.61x = 138,267.17 × 61,978.93
  4. Step 4: Simplify right side
    100,231.61x = 8,569,650,559.39
  5. Step 5: Solve for x
    x = 8,569,650,559.39/100,231.61
  6. Step 6: Final answer
    x = 85,498.49

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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.