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Finding the Fourth Proportional to 140,773.54, 194,267.52 and 77,113.60

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Solution

The fourth proportional to 140,773.54, 194,267.52 and 77,113.60 is: 106,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,773.54 : 194,267.52 = 77,113.60 : x
  2. Step 2: Convert to fraction form
    140,773.54/194,267.52 = 77,113.60/x
  3. Step 3: Cross multiply
    140,773.54x = 194,267.52 × 77,113.60
  4. Step 4: Simplify right side
    140,773.54x = 14,980,667,830.27
  5. Step 5: Solve for x
    x = 14,980,667,830.27/140,773.54
  6. Step 6: Final answer
    x = 106,416.79

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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.