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Finding the Fourth Proportional to 252,144.85, 347,955.35 and 137,424.55

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Solution

The fourth proportional to 252,144.85, 347,955.35 and 137,424.55 is: 189,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,144.85 : 347,955.35 = 137,424.55 : x
  2. Step 2: Convert to fraction form
    252,144.85/347,955.35 = 137,424.55/x
  3. Step 3: Cross multiply
    252,144.85x = 347,955.35 × 137,424.55
  4. Step 4: Simplify right side
    252,144.85x = 47,817,606,489.25
  5. Step 5: Solve for x
    x = 47,817,606,489.25/252,144.85
  6. Step 6: Final answer
    x = 189,643.40

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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.