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Finding the Fourth Proportional to 302,511.20, 453,766.80 and 92,148.80

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Solution

The fourth proportional to 302,511.20, 453,766.80 and 92,148.80 is: 138,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,511.20 : 453,766.80 = 92,148.80 : x
  2. Step 2: Convert to fraction form
    302,511.20/453,766.80 = 92,148.80/x
  3. Step 3: Cross multiply
    302,511.20x = 453,766.80 × 92,148.80
  4. Step 4: Simplify right side
    302,511.20x = 41,814,066,099.84
  5. Step 5: Solve for x
    x = 41,814,066,099.84/302,511.20
  6. Step 6: Final answer
    x = 138,223.20

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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.