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Finding the Fourth Proportional to 131,574.57, 197,364.30 and 42,827.73

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Solution

The fourth proportional to 131,574.57, 197,364.30 and 42,827.73 is: 64,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,574.57 : 197,364.30 = 42,827.73 : x
  2. Step 2: Convert to fraction form
    131,574.57/197,364.30 = 42,827.73/x
  3. Step 3: Cross multiply
    131,574.57x = 197,364.30 × 42,827.73
  4. Step 4: Simplify right side
    131,574.57x = 8,452,664,952.04
  5. Step 5: Solve for x
    x = 8,452,664,952.04/131,574.57
  6. Step 6: Final answer
    x = 64,242.39

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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.