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Finding the Fourth Proportional to 102,185.55, 141,019.38 and 63,932.90

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Solution

The fourth proportional to 102,185.55, 141,019.38 and 63,932.90 is: 88,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,185.55 : 141,019.38 = 63,932.90 : x
  2. Step 2: Convert to fraction form
    102,185.55/141,019.38 = 63,932.90/x
  3. Step 3: Cross multiply
    102,185.55x = 141,019.38 × 63,932.90
  4. Step 4: Simplify right side
    102,185.55x = 9,015,777,214.51
  5. Step 5: Solve for x
    x = 9,015,777,214.51/102,185.55
  6. Step 6: Final answer
    x = 88,229.47

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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.