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Finding the Fourth Proportional to 100,575.84, 138,819.60 and 58,128.24

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Solution

The fourth proportional to 100,575.84, 138,819.60 and 58,128.24 is: 80,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,575.84 : 138,819.60 = 58,128.24 : x
  2. Step 2: Convert to fraction form
    100,575.84/138,819.60 = 58,128.24/x
  3. Step 3: Cross multiply
    100,575.84x = 138,819.60 × 58,128.24
  4. Step 4: Simplify right side
    100,575.84x = 8,069,339,025.50
  5. Step 5: Solve for x
    x = 8,069,339,025.50/100,575.84
  6. Step 6: Final answer
    x = 80,231.39

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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.