Home / 205,921.52-284,115.44-141,410.16

Finding the Fourth Proportional to 205,921.52, 284,115.44 and 141,410.16

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Solution

The fourth proportional to 205,921.52, 284,115.44 and 141,410.16 is: 195,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,921.52 : 284,115.44 = 141,410.16 : x
  2. Step 2: Convert to fraction form
    205,921.52/284,115.44 = 141,410.16/x
  3. Step 3: Cross multiply
    205,921.52x = 284,115.44 × 141,410.16
  4. Step 4: Simplify right side
    205,921.52x = 40,176,809,828.87
  5. Step 5: Solve for x
    x = 40,176,809,828.87/205,921.52
  6. Step 6: Final answer
    x = 195,107.39

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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.