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Finding the Fourth Proportional to 268,509.84, 402,738.72 and 81,522.96

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Solution

The fourth proportional to 268,509.84, 402,738.72 and 81,522.96 is: 122,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,509.84 : 402,738.72 = 81,522.96 : x
  2. Step 2: Convert to fraction form
    268,509.84/402,738.72 = 81,522.96/x
  3. Step 3: Cross multiply
    268,509.84x = 402,738.72 × 81,522.96
  4. Step 4: Simplify right side
    268,509.84x = 32,832,452,561.01
  5. Step 5: Solve for x
    x = 32,832,452,561.01/268,509.84
  6. Step 6: Final answer
    x = 122,276.53

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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.