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Finding the Fourth Proportional to 268,513.84, 402,744.72 and 81,526.96

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Solution

The fourth proportional to 268,513.84, 402,744.72 and 81,526.96 is: 122,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,513.84 : 402,744.72 = 81,526.96 : x
  2. Step 2: Convert to fraction form
    268,513.84/402,744.72 = 81,526.96/x
  3. Step 3: Cross multiply
    268,513.84x = 402,744.72 × 81,526.96
  4. Step 4: Simplify right side
    268,513.84x = 32,834,552,677.65
  5. Step 5: Solve for x
    x = 32,834,552,677.65/268,513.84
  6. Step 6: Final answer
    x = 122,282.53

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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.