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Finding the Fourth Proportional to 252,020.16, 347,309.28 and 180,275.58

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Solution

The fourth proportional to 252,020.16, 347,309.28 and 180,275.58 is: 248,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,020.16 : 347,309.28 = 180,275.58 : x
  2. Step 2: Convert to fraction form
    252,020.16/347,309.28 = 180,275.58/x
  3. Step 3: Cross multiply
    252,020.16x = 347,309.28 × 180,275.58
  4. Step 4: Simplify right side
    252,020.16x = 62,611,381,891.38
  5. Step 5: Solve for x
    x = 62,611,381,891.38/252,020.16
  6. Step 6: Final answer
    x = 248,437.99

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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.