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Finding the Fourth Proportional to 100,420.66, 138,591.44 and 64,155.27

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Solution

The fourth proportional to 100,420.66, 138,591.44 and 64,155.27 is: 88,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420.66 : 138,591.44 = 64,155.27 : x
  2. Step 2: Convert to fraction form
    100,420.66/138,591.44 = 64,155.27/x
  3. Step 3: Cross multiply
    100,420.66x = 138,591.44 × 64,155.27
  4. Step 4: Simplify right side
    100,420.66x = 8,891,371,692.41
  5. Step 5: Solve for x
    x = 8,891,371,692.41/100,420.66
  6. Step 6: Final answer
    x = 88,541.26

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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.