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Finding the Fourth Proportional to 100,580.88, 138,826.56 and 58,164

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Solution

The fourth proportional to 100,580.88, 138,826.56 and 58,164 is: 80,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.88 : 138,826.56 = 58,164 : x
  2. Step 2: Convert to fraction form
    100,580.88/138,826.56 = 58,164/x
  3. Step 3: Cross multiply
    100,580.88x = 138,826.56 × 58,164
  4. Step 4: Simplify right side
    100,580.88x = 8,074,708,035.84
  5. Step 5: Solve for x
    x = 8,074,708,035.84/100,580.88
  6. Step 6: Final answer
    x = 80,280.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.