Home / 205,904.17-284,144.19-114,021.63

Finding the Fourth Proportional to 205,904.17, 284,144.19 and 114,021.63

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Solution

The fourth proportional to 205,904.17, 284,144.19 and 114,021.63 is: 157,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904.17 : 284,144.19 = 114,021.63 : x
  2. Step 2: Convert to fraction form
    205,904.17/284,144.19 = 114,021.63/x
  3. Step 3: Cross multiply
    205,904.17x = 284,144.19 × 114,021.63
  4. Step 4: Simplify right side
    205,904.17x = 32,398,583,698.83
  5. Step 5: Solve for x
    x = 32,398,583,698.83/205,904.17
  6. Step 6: Final answer
    x = 157,347.88

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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.