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Finding the Fourth Proportional to 107,363.60, 147,917.96 and 83,081.06

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Solution

The fourth proportional to 107,363.60, 147,917.96 and 83,081.06 is: 114,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,363.60 : 147,917.96 = 83,081.06 : x
  2. Step 2: Convert to fraction form
    107,363.60/147,917.96 = 83,081.06/x
  3. Step 3: Cross multiply
    107,363.60x = 147,917.96 × 83,081.06
  4. Step 4: Simplify right side
    107,363.60x = 12,289,181,117.54
  5. Step 5: Solve for x
    x = 12,289,181,117.54/107,363.60
  6. Step 6: Final answer
    x = 114,463.20

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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.