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Finding the Fourth Proportional to 78,067.50, 116,810.78 and 68,534.88

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Solution

The fourth proportional to 78,067.50, 116,810.78 and 68,534.88 is: 102,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.50 : 116,810.78 = 68,534.88 : x
  2. Step 2: Convert to fraction form
    78,067.50/116,810.78 = 68,534.88/x
  3. Step 3: Cross multiply
    78,067.50x = 116,810.78 × 68,534.88
  4. Step 4: Simplify right side
    78,067.50x = 8,005,613,573.15
  5. Step 5: Solve for x
    x = 8,005,613,573.15/78,067.50
  6. Step 6: Final answer
    x = 102,547.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.