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Finding the Fourth Proportional to 235,979.52, 353,957.76 and 88,224

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Solution

The fourth proportional to 235,979.52, 353,957.76 and 88,224 is: 132,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,979.52 : 353,957.76 = 88,224 : x
  2. Step 2: Convert to fraction form
    235,979.52/353,957.76 = 88,224/x
  3. Step 3: Cross multiply
    235,979.52x = 353,957.76 × 88,224
  4. Step 4: Simplify right side
    235,979.52x = 31,227,569,418.24
  5. Step 5: Solve for x
    x = 31,227,569,418.24/235,979.52
  6. Step 6: Final answer
    x = 132,331.69

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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.