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Finding the Fourth Proportional to 100,261, 138,360.18 and 59,976.46

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Solution

The fourth proportional to 100,261, 138,360.18 and 59,976.46 is: 82,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,261 : 138,360.18 = 59,976.46 : x
  2. Step 2: Convert to fraction form
    100,261/138,360.18 = 59,976.46/x
  3. Step 3: Cross multiply
    100,261x = 138,360.18 × 59,976.46
  4. Step 4: Simplify right side
    100,261x = 8,298,353,801.36
  5. Step 5: Solve for x
    x = 8,298,353,801.36/100,261
  6. Step 6: Final answer
    x = 82,767.51

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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.