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Finding the Fourth Proportional to 252,167.22, 347,878.53 and 144,711.54

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Solution

The fourth proportional to 252,167.22, 347,878.53 and 144,711.54 is: 199,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,167.22 : 347,878.53 = 144,711.54 : x
  2. Step 2: Convert to fraction form
    252,167.22/347,878.53 = 144,711.54/x
  3. Step 3: Cross multiply
    252,167.22x = 347,878.53 × 144,711.54
  4. Step 4: Simplify right side
    252,167.22x = 50,342,037,809.24
  5. Step 5: Solve for x
    x = 50,342,037,809.24/252,167.22
  6. Step 6: Final answer
    x = 199,637.52

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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.