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Finding the Fourth Proportional to 268,200.40, 402,559.80 and 163,224.40

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Solution

The fourth proportional to 268,200.40, 402,559.80 and 163,224.40 is: 244,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,200.40 : 402,559.80 = 163,224.40 : x
  2. Step 2: Convert to fraction form
    268,200.40/402,559.80 = 163,224.40/x
  3. Step 3: Cross multiply
    268,200.40x = 402,559.80 × 163,224.40
  4. Step 4: Simplify right side
    268,200.40x = 65,707,581,819.12
  5. Step 5: Solve for x
    x = 65,707,581,819.12/268,200.40
  6. Step 6: Final answer
    x = 244,994.35

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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.