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Finding the Fourth Proportional to 235,451.66, 353,169.60 and 102,331.91

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Solution

The fourth proportional to 235,451.66, 353,169.60 and 102,331.91 is: 153,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,451.66 : 353,169.60 = 102,331.91 : x
  2. Step 2: Convert to fraction form
    235,451.66/353,169.60 = 102,331.91/x
  3. Step 3: Cross multiply
    235,451.66x = 353,169.60 × 102,331.91
  4. Step 4: Simplify right side
    235,451.66x = 36,140,519,721.94
  5. Step 5: Solve for x
    x = 36,140,519,721.94/235,451.66
  6. Step 6: Final answer
    x = 153,494.44

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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.