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Finding the Fourth Proportional to 223,567.46, 308,524.38 and 121,594.14

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Solution

The fourth proportional to 223,567.46, 308,524.38 and 121,594.14 is: 167,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,567.46 : 308,524.38 = 121,594.14 : x
  2. Step 2: Convert to fraction form
    223,567.46/308,524.38 = 121,594.14/x
  3. Step 3: Cross multiply
    223,567.46x = 308,524.38 × 121,594.14
  4. Step 4: Simplify right side
    223,567.46x = 37,514,756,655.13
  5. Step 5: Solve for x
    x = 37,514,756,655.13/223,567.46
  6. Step 6: Final answer
    x = 167,800.61

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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.