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Finding the Fourth Proportional to 215,926.40, 323,792.40 and 82,762.40

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Solution

The fourth proportional to 215,926.40, 323,792.40 and 82,762.40 is: 124,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,926.40 : 323,792.40 = 82,762.40 : x
  2. Step 2: Convert to fraction form
    215,926.40/323,792.40 = 82,762.40/x
  3. Step 3: Cross multiply
    215,926.40x = 323,792.40 × 82,762.40
  4. Step 4: Simplify right side
    215,926.40x = 26,797,836,125.76
  5. Step 5: Solve for x
    x = 26,797,836,125.76/215,926.40
  6. Step 6: Final answer
    x = 124,106.34

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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.