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Finding the Fourth Proportional to 140,916.77, 194,463.96 and 77,254.42

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Solution

The fourth proportional to 140,916.77, 194,463.96 and 77,254.42 is: 106,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,916.77 : 194,463.96 = 77,254.42 : x
  2. Step 2: Convert to fraction form
    140,916.77/194,463.96 = 77,254.42/x
  3. Step 3: Cross multiply
    140,916.77x = 194,463.96 × 77,254.42
  4. Step 4: Simplify right side
    140,916.77x = 15,023,200,440.70
  5. Step 5: Solve for x
    x = 15,023,200,440.70/140,916.77
  6. Step 6: Final answer
    x = 106,610.45

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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.