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Finding the Fourth Proportional to 302,505.76, 453,758.64 and 80,884

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Solution

The fourth proportional to 302,505.76, 453,758.64 and 80,884 is: 121,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,505.76 : 453,758.64 = 80,884 : x
  2. Step 2: Convert to fraction form
    302,505.76/453,758.64 = 80,884/x
  3. Step 3: Cross multiply
    302,505.76x = 453,758.64 × 80,884
  4. Step 4: Simplify right side
    302,505.76x = 36,701,813,837.76
  5. Step 5: Solve for x
    x = 36,701,813,837.76/302,505.76
  6. Step 6: Final answer
    x = 121,326

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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.