Home / 205,957.38-284,207.43-115,298.04

Finding the Fourth Proportional to 205,957.38, 284,207.43 and 115,298.04

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Solution

The fourth proportional to 205,957.38, 284,207.43 and 115,298.04 is: 159,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,957.38 : 284,207.43 = 115,298.04 : x
  2. Step 2: Convert to fraction form
    205,957.38/284,207.43 = 115,298.04/x
  3. Step 3: Cross multiply
    205,957.38x = 284,207.43 × 115,298.04
  4. Step 4: Simplify right side
    205,957.38x = 32,768,559,632.44
  5. Step 5: Solve for x
    x = 32,768,559,632.44/205,957.38
  6. Step 6: Final answer
    x = 159,103.60

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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.