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Finding the Fourth Proportional to 140,569.75, 210,854.82 and 57,463.75

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Solution

The fourth proportional to 140,569.75, 210,854.82 and 57,463.75 is: 86,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,569.75 : 210,854.82 = 57,463.75 : x
  2. Step 2: Convert to fraction form
    140,569.75/210,854.82 = 57,463.75/x
  3. Step 3: Cross multiply
    140,569.75x = 210,854.82 × 57,463.75
  4. Step 4: Simplify right side
    140,569.75x = 12,116,508,662.78
  5. Step 5: Solve for x
    x = 12,116,508,662.78/140,569.75
  6. Step 6: Final answer
    x = 86,195.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.