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Finding the Fourth Proportional to 100,220.97, 138,307.17 and 57,199.60

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Solution

The fourth proportional to 100,220.97, 138,307.17 and 57,199.60 is: 78,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220.97 : 138,307.17 = 57,199.60 : x
  2. Step 2: Convert to fraction form
    100,220.97/138,307.17 = 57,199.60/x
  3. Step 3: Cross multiply
    100,220.97x = 138,307.17 × 57,199.60
  4. Step 4: Simplify right side
    100,220.97x = 7,911,114,801.13
  5. Step 5: Solve for x
    x = 7,911,114,801.13/100,220.97
  6. Step 6: Final answer
    x = 78,936.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.