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Finding the Fourth Proportional to 302,538.68, 453,961.12 and 125,173

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Solution

The fourth proportional to 302,538.68, 453,961.12 and 125,173 is: 187,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,538.68 : 453,961.12 = 125,173 : x
  2. Step 2: Convert to fraction form
    302,538.68/453,961.12 = 125,173/x
  3. Step 3: Cross multiply
    302,538.68x = 453,961.12 × 125,173
  4. Step 4: Simplify right side
    302,538.68x = 56,823,675,273.76
  5. Step 5: Solve for x
    x = 56,823,675,273.76/302,538.68
  6. Step 6: Final answer
    x = 187,822.84

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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.