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Finding the Fourth Proportional to 97,758.88, 134,968.40 and 67,184.64

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Solution

The fourth proportional to 97,758.88, 134,968.40 and 67,184.64 is: 92,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,758.88 : 134,968.40 = 67,184.64 : x
  2. Step 2: Convert to fraction form
    97,758.88/134,968.40 = 67,184.64/x
  3. Step 3: Cross multiply
    97,758.88x = 134,968.40 × 67,184.64
  4. Step 4: Simplify right side
    97,758.88x = 9,067,803,365.38
  5. Step 5: Solve for x
    x = 9,067,803,365.38/97,758.88
  6. Step 6: Final answer
    x = 92,756.83

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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.