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Finding the Fourth Proportional to 252,500.80, 348,304.16 and 161,824.56

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Solution

The fourth proportional to 252,500.80, 348,304.16 and 161,824.56 is: 223,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,500.80 : 348,304.16 = 161,824.56 : x
  2. Step 2: Convert to fraction form
    252,500.80/348,304.16 = 161,824.56/x
  3. Step 3: Cross multiply
    252,500.80x = 348,304.16 × 161,824.56
  4. Step 4: Simplify right side
    252,500.80x = 56,364,167,438.17
  5. Step 5: Solve for x
    x = 56,364,167,438.17/252,500.80
  6. Step 6: Final answer
    x = 223,223.72

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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.