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Finding the Fourth Proportional to 323,733.20, 485,599.80 and 102,117.20

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Solution

The fourth proportional to 323,733.20, 485,599.80 and 102,117.20 is: 153,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,733.20 : 485,599.80 = 102,117.20 : x
  2. Step 2: Convert to fraction form
    323,733.20/485,599.80 = 102,117.20/x
  3. Step 3: Cross multiply
    323,733.20x = 485,599.80 × 102,117.20
  4. Step 4: Simplify right side
    323,733.20x = 49,588,091,896.56
  5. Step 5: Solve for x
    x = 49,588,091,896.56/323,733.20
  6. Step 6: Final answer
    x = 153,175.80

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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.