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Finding the Fourth Proportional to 83,012.32, 114,543.04 and 78,808.96

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Solution

The fourth proportional to 83,012.32, 114,543.04 and 78,808.96 is: 108,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,012.32 : 114,543.04 = 78,808.96 : x
  2. Step 2: Convert to fraction form
    83,012.32/114,543.04 = 78,808.96/x
  3. Step 3: Cross multiply
    83,012.32x = 114,543.04 × 78,808.96
  4. Step 4: Simplify right side
    83,012.32x = 9,027,017,857.64
  5. Step 5: Solve for x
    x = 9,027,017,857.64/83,012.32
  6. Step 6: Final answer
    x = 108,743.11

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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.