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Finding the Fourth Proportional to 100,098.56, 138,010.56 and 64,225.28

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Solution

The fourth proportional to 100,098.56, 138,010.56 and 64,225.28 is: 88,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098.56 : 138,010.56 = 64,225.28 : x
  2. Step 2: Convert to fraction form
    100,098.56/138,010.56 = 64,225.28/x
  3. Step 3: Cross multiply
    100,098.56x = 138,010.56 × 64,225.28
  4. Step 4: Simplify right side
    100,098.56x = 8,863,766,858.96
  5. Step 5: Solve for x
    x = 8,863,766,858.96/100,098.56
  6. Step 6: Final answer
    x = 88,550.39

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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.