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Finding the Fourth Proportional to 302,523.76, 453,785.64 and 80,902

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Solution

The fourth proportional to 302,523.76, 453,785.64 and 80,902 is: 121,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,523.76 : 453,785.64 = 80,902 : x
  2. Step 2: Convert to fraction form
    302,523.76/453,785.64 = 80,902/x
  3. Step 3: Cross multiply
    302,523.76x = 453,785.64 × 80,902
  4. Step 4: Simplify right side
    302,523.76x = 36,712,165,847.28
  5. Step 5: Solve for x
    x = 36,712,165,847.28/302,523.76
  6. Step 6: Final answer
    x = 121,353.00

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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.