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Finding the Fourth Proportional to 78,103.69, 117,131.29 and 28,177.28

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Solution

The fourth proportional to 78,103.69, 117,131.29 and 28,177.28 is: 42,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,103.69 : 117,131.29 = 28,177.28 : x
  2. Step 2: Convert to fraction form
    78,103.69/117,131.29 = 28,177.28/x
  3. Step 3: Cross multiply
    78,103.69x = 117,131.29 × 28,177.28
  4. Step 4: Simplify right side
    78,103.69x = 3,300,441,155.09
  5. Step 5: Solve for x
    x = 3,300,441,155.09/78,103.69
  6. Step 6: Final answer
    x = 42,257.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.