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Finding the Fourth Proportional to 140,574.42, 193,993.38 and 76,913.28

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Solution

The fourth proportional to 140,574.42, 193,993.38 and 76,913.28 is: 106,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,574.42 : 193,993.38 = 76,913.28 : x
  2. Step 2: Convert to fraction form
    140,574.42/193,993.38 = 76,913.28/x
  3. Step 3: Cross multiply
    140,574.42x = 193,993.38 × 76,913.28
  4. Step 4: Simplify right side
    140,574.42x = 14,920,667,154.09
  5. Step 5: Solve for x
    x = 14,920,667,154.09/140,574.42
  6. Step 6: Final answer
    x = 106,140.70

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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.