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Finding the Fourth Proportional to 140,778, 194,271.24 and 77,115.60

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Solution

The fourth proportional to 140,778, 194,271.24 and 77,115.60 is: 106,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,778 : 194,271.24 = 77,115.60 : x
  2. Step 2: Convert to fraction form
    140,778/194,271.24 = 77,115.60/x
  3. Step 3: Cross multiply
    140,778x = 194,271.24 × 77,115.60
  4. Step 4: Simplify right side
    140,778x = 14,981,343,235.34
  5. Step 5: Solve for x
    x = 14,981,343,235.34/140,778
  6. Step 6: Final answer
    x = 106,418.21

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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.