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Finding the Fourth Proportional to 242,660.84, 363,744.86 and 92,862.76

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Solution

The fourth proportional to 242,660.84, 363,744.86 and 92,862.76 is: 139,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,660.84 : 363,744.86 = 92,862.76 : x
  2. Step 2: Convert to fraction form
    242,660.84/363,744.86 = 92,862.76/x
  3. Step 3: Cross multiply
    242,660.84x = 363,744.86 × 92,862.76
  4. Step 4: Simplify right side
    242,660.84x = 33,778,351,635.41
  5. Step 5: Solve for x
    x = 33,778,351,635.41/242,660.84
  6. Step 6: Final answer
    x = 139,199.85

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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.