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Finding the Fourth Proportional to 100,284.16, 138,358.20 and 57,841.60

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Solution

The fourth proportional to 100,284.16, 138,358.20 and 57,841.60 is: 79,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,284.16 : 138,358.20 = 57,841.60 : x
  2. Step 2: Convert to fraction form
    100,284.16/138,358.20 = 57,841.60/x
  3. Step 3: Cross multiply
    100,284.16x = 138,358.20 × 57,841.60
  4. Step 4: Simplify right side
    100,284.16x = 8,002,859,661.12
  5. Step 5: Solve for x
    x = 8,002,859,661.12/100,284.16
  6. Step 6: Final answer
    x = 79,801.83

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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.