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Finding the Fourth Proportional to 228,712.91, 342,930.44 and 102,329.62

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Solution

The fourth proportional to 228,712.91, 342,930.44 and 102,329.62 is: 153,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,712.91 : 342,930.44 = 102,329.62 : x
  2. Step 2: Convert to fraction form
    228,712.91/342,930.44 = 102,329.62/x
  3. Step 3: Cross multiply
    228,712.91x = 342,930.44 × 102,329.62
  4. Step 4: Simplify right side
    228,712.91x = 35,091,941,010.13
  5. Step 5: Solve for x
    x = 35,091,941,010.13/228,712.91
  6. Step 6: Final answer
    x = 153,432.27

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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.