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Finding the Fourth Proportional to 253,754.40, 380,356.92 and 165,071.28

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Solution

The fourth proportional to 253,754.40, 380,356.92 and 165,071.28 is: 247,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,754.40 : 380,356.92 = 165,071.28 : x
  2. Step 2: Convert to fraction form
    253,754.40/380,356.92 = 165,071.28/x
  3. Step 3: Cross multiply
    253,754.40x = 380,356.92 × 165,071.28
  4. Step 4: Simplify right side
    253,754.40x = 62,786,003,641.26
  5. Step 5: Solve for x
    x = 62,786,003,641.26/253,754.40
  6. Step 6: Final answer
    x = 247,428.24

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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.