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Finding the Fourth Proportional to 168,024.40, 252,058.20 and 83,827.60

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Solution

The fourth proportional to 168,024.40, 252,058.20 and 83,827.60 is: 125,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,024.40 : 252,058.20 = 83,827.60 : x
  2. Step 2: Convert to fraction form
    168,024.40/252,058.20 = 83,827.60/x
  3. Step 3: Cross multiply
    168,024.40x = 252,058.20 × 83,827.60
  4. Step 4: Simplify right side
    168,024.40x = 21,129,433,966.32
  5. Step 5: Solve for x
    x = 21,129,433,966.32/168,024.40
  6. Step 6: Final answer
    x = 125,752.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.