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Finding the Fourth Proportional to 78,567.93, 107,716.77 and 77,146.38

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Solution

The fourth proportional to 78,567.93, 107,716.77 and 77,146.38 is: 105,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,567.93 : 107,716.77 = 77,146.38 : x
  2. Step 2: Convert to fraction form
    78,567.93/107,716.77 = 77,146.38/x
  3. Step 3: Cross multiply
    78,567.93x = 107,716.77 × 77,146.38
  4. Step 4: Simplify right side
    78,567.93x = 8,309,958,870.79
  5. Step 5: Solve for x
    x = 8,309,958,870.79/78,567.93
  6. Step 6: Final answer
    x = 105,767.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.