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Finding the Fourth Proportional to 227,461.92, 313,565.16 and 159,264

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Solution

The fourth proportional to 227,461.92, 313,565.16 and 159,264 is: 219,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,461.92 : 313,565.16 = 159,264 : x
  2. Step 2: Convert to fraction form
    227,461.92/313,565.16 = 159,264/x
  3. Step 3: Cross multiply
    227,461.92x = 313,565.16 × 159,264
  4. Step 4: Simplify right side
    227,461.92x = 49,939,641,642.24
  5. Step 5: Solve for x
    x = 49,939,641,642.24/227,461.92
  6. Step 6: Final answer
    x = 219,551.66

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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.