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Finding the Fourth Proportional to 76,181, 114,315.24 and 59,494.20

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Solution

The fourth proportional to 76,181, 114,315.24 and 59,494.20 is: 89,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,181 : 114,315.24 = 59,494.20 : x
  2. Step 2: Convert to fraction form
    76,181/114,315.24 = 59,494.20/x
  3. Step 3: Cross multiply
    76,181x = 114,315.24 × 59,494.20
  4. Step 4: Simplify right side
    76,181x = 6,801,093,751.61
  5. Step 5: Solve for x
    x = 6,801,093,751.61/76,181
  6. Step 6: Final answer
    x = 89,275.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.