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Finding the Fourth Proportional to 252,048.48, 347,824.14 and 144,635.33

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Solution

The fourth proportional to 252,048.48, 347,824.14 and 144,635.33 is: 199,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,048.48 : 347,824.14 = 144,635.33 : x
  2. Step 2: Convert to fraction form
    252,048.48/347,824.14 = 144,635.33/x
  3. Step 3: Cross multiply
    252,048.48x = 347,824.14 × 144,635.33
  4. Step 4: Simplify right side
    252,048.48x = 50,307,657,531.75
  5. Step 5: Solve for x
    x = 50,307,657,531.75/252,048.48
  6. Step 6: Final answer
    x = 199,595.16

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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.