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Finding the Fourth Proportional to 100,072.32, 138,077.20 and 59,778.20

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Solution

The fourth proportional to 100,072.32, 138,077.20 and 59,778.20 is: 82,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072.32 : 138,077.20 = 59,778.20 : x
  2. Step 2: Convert to fraction form
    100,072.32/138,077.20 = 59,778.20/x
  3. Step 3: Cross multiply
    100,072.32x = 138,077.20 × 59,778.20
  4. Step 4: Simplify right side
    100,072.32x = 8,254,006,477.04
  5. Step 5: Solve for x
    x = 8,254,006,477.04/100,072.32
  6. Step 6: Final answer
    x = 82,480.41

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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.