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Finding the Fourth Proportional to 176,894.28, 265,340.82 and 71,713

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Solution

The fourth proportional to 176,894.28, 265,340.82 and 71,713 is: 107,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,894.28 : 265,340.82 = 71,713 : x
  2. Step 2: Convert to fraction form
    176,894.28/265,340.82 = 71,713/x
  3. Step 3: Cross multiply
    176,894.28x = 265,340.82 × 71,713
  4. Step 4: Simplify right side
    176,894.28x = 19,028,386,224.66
  5. Step 5: Solve for x
    x = 19,028,386,224.66/176,894.28
  6. Step 6: Final answer
    x = 107,569.26

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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.