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Finding the Fourth Proportional to 100,407.10, 138,705.98 and 80,237.56

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Solution

The fourth proportional to 100,407.10, 138,705.98 and 80,237.56 is: 110,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407.10 : 138,705.98 = 80,237.56 : x
  2. Step 2: Convert to fraction form
    100,407.10/138,705.98 = 80,237.56/x
  3. Step 3: Cross multiply
    100,407.10x = 138,705.98 × 80,237.56
  4. Step 4: Simplify right side
    100,407.10x = 11,129,429,392.61
  5. Step 5: Solve for x
    x = 11,129,429,392.61/100,407.10
  6. Step 6: Final answer
    x = 110,843.05

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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.