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Finding the Fourth Proportional to 205,373.46, 283,412.25 and 114,730.73

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Solution

The fourth proportional to 205,373.46, 283,412.25 and 114,730.73 is: 158,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,373.46 : 283,412.25 = 114,730.73 : x
  2. Step 2: Convert to fraction form
    205,373.46/283,412.25 = 114,730.73/x
  3. Step 3: Cross multiply
    205,373.46x = 283,412.25 × 114,730.73
  4. Step 4: Simplify right side
    205,373.46x = 32,516,092,916.38
  5. Step 5: Solve for x
    x = 32,516,092,916.38/205,373.46
  6. Step 6: Final answer
    x = 158,326.65

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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.