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Finding the Fourth Proportional to 223,022.80, 307,631.48 and 132,314.52

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Solution

The fourth proportional to 223,022.80, 307,631.48 and 132,314.52 is: 182,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,022.80 : 307,631.48 = 132,314.52 : x
  2. Step 2: Convert to fraction form
    223,022.80/307,631.48 = 132,314.52/x
  3. Step 3: Cross multiply
    223,022.80x = 307,631.48 × 132,314.52
  4. Step 4: Simplify right side
    223,022.80x = 40,704,111,613.09
  5. Step 5: Solve for x
    x = 40,704,111,613.09/223,022.80
  6. Step 6: Final answer
    x = 182,510.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.