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Finding the Fourth Proportional to 235,613.16, 353,411.24 and 102,493.52

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Solution

The fourth proportional to 235,613.16, 353,411.24 and 102,493.52 is: 153,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,613.16 : 353,411.24 = 102,493.52 : x
  2. Step 2: Convert to fraction form
    235,613.16/353,411.24 = 102,493.52/x
  3. Step 3: Cross multiply
    235,613.16x = 353,411.24 × 102,493.52
  4. Step 4: Simplify right side
    235,613.16x = 36,222,361,995.16
  5. Step 5: Solve for x
    x = 36,222,361,995.16/235,613.16
  6. Step 6: Final answer
    x = 153,736.58

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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.