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Finding the Fourth Proportional to 165,264.29, 247,723.43 and 69,256.47

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Solution

The fourth proportional to 165,264.29, 247,723.43 and 69,256.47 is: 103,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264.29 : 247,723.43 = 69,256.47 : x
  2. Step 2: Convert to fraction form
    165,264.29/247,723.43 = 69,256.47/x
  3. Step 3: Cross multiply
    165,264.29x = 247,723.43 × 69,256.47
  4. Step 4: Simplify right side
    165,264.29x = 17,156,449,951.81
  5. Step 5: Solve for x
    x = 17,156,449,951.81/165,264.29
  6. Step 6: Final answer
    x = 103,812.21

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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.