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Finding the Fourth Proportional to 100,966.88, 139,335.26 and 55,646.53

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Solution

The fourth proportional to 100,966.88, 139,335.26 and 55,646.53 is: 76,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.88 : 139,335.26 = 55,646.53 : x
  2. Step 2: Convert to fraction form
    100,966.88/139,335.26 = 55,646.53/x
  3. Step 3: Cross multiply
    100,966.88x = 139,335.26 × 55,646.53
  4. Step 4: Simplify right side
    100,966.88x = 7,753,523,099.08
  5. Step 5: Solve for x
    x = 7,753,523,099.08/100,966.88
  6. Step 6: Final answer
    x = 76,792.74

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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.