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Finding the Fourth Proportional to 78,127.28, 117,166.98 and 28,201.28

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Solution

The fourth proportional to 78,127.28, 117,166.98 and 28,201.28 is: 42,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127.28 : 117,166.98 = 28,201.28 : x
  2. Step 2: Convert to fraction form
    78,127.28/117,166.98 = 28,201.28/x
  3. Step 3: Cross multiply
    78,127.28x = 117,166.98 × 28,201.28
  4. Step 4: Simplify right side
    78,127.28x = 3,304,258,809.73
  5. Step 5: Solve for x
    x = 3,304,258,809.73/78,127.28
  6. Step 6: Final answer
    x = 42,293.28

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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.