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Finding the Fourth Proportional to 176,891.28, 265,336.32 and 71,710

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Solution

The fourth proportional to 176,891.28, 265,336.32 and 71,710 is: 107,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,891.28 : 265,336.32 = 71,710 : x
  2. Step 2: Convert to fraction form
    176,891.28/265,336.32 = 71,710/x
  3. Step 3: Cross multiply
    176,891.28x = 265,336.32 × 71,710
  4. Step 4: Simplify right side
    176,891.28x = 19,027,267,507.20
  5. Step 5: Solve for x
    x = 19,027,267,507.20/176,891.28
  6. Step 6: Final answer
    x = 107,564.76

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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.