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Finding the Fourth Proportional to 302,497.76, 453,746.64 and 80,876

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Solution

The fourth proportional to 302,497.76, 453,746.64 and 80,876 is: 121,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,497.76 : 453,746.64 = 80,876 : x
  2. Step 2: Convert to fraction form
    302,497.76/453,746.64 = 80,876/x
  3. Step 3: Cross multiply
    302,497.76x = 453,746.64 × 80,876
  4. Step 4: Simplify right side
    302,497.76x = 36,697,213,256.64
  5. Step 5: Solve for x
    x = 36,697,213,256.64/302,497.76
  6. Step 6: Final answer
    x = 121,314

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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.