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Finding the Fourth Proportional to 242,429.66, 363,701.72 and 76,217.66

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Solution

The fourth proportional to 242,429.66, 363,701.72 and 76,217.66 is: 114,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,429.66 : 363,701.72 = 76,217.66 : x
  2. Step 2: Convert to fraction form
    242,429.66/363,701.72 = 76,217.66/x
  3. Step 3: Cross multiply
    242,429.66x = 363,701.72 × 76,217.66
  4. Step 4: Simplify right side
    242,429.66x = 27,720,492,408.41
  5. Step 5: Solve for x
    x = 27,720,492,408.41/242,429.66
  6. Step 6: Final answer
    x = 114,344.48

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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.