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Finding the Fourth Proportional to 100,566.56, 138,746.94 and 59,721.42

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Solution

The fourth proportional to 100,566.56, 138,746.94 and 59,721.42 is: 82,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,566.56 : 138,746.94 = 59,721.42 : x
  2. Step 2: Convert to fraction form
    100,566.56/138,746.94 = 59,721.42/x
  3. Step 3: Cross multiply
    100,566.56x = 138,746.94 × 59,721.42
  4. Step 4: Simplify right side
    100,566.56x = 8,286,164,277.45
  5. Step 5: Solve for x
    x = 8,286,164,277.45/100,566.56
  6. Step 6: Final answer
    x = 82,394.83

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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.