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Finding the Fourth Proportional to 223,535.74, 308,475.04 and 122,933.74

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Solution

The fourth proportional to 223,535.74, 308,475.04 and 122,933.74 is: 169,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,535.74 : 308,475.04 = 122,933.74 : x
  2. Step 2: Convert to fraction form
    223,535.74/308,475.04 = 122,933.74/x
  3. Step 3: Cross multiply
    223,535.74x = 308,475.04 × 122,933.74
  4. Step 4: Simplify right side
    223,535.74x = 37,921,988,514.14
  5. Step 5: Solve for x
    x = 37,921,988,514.14/223,535.74
  6. Step 6: Final answer
    x = 169,646.20

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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.