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Finding the Fourth Proportional to 223,567.60, 308,391.65 and 140,649.48

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Solution

The fourth proportional to 223,567.60, 308,391.65 and 140,649.48 is: 194,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,567.60 : 308,391.65 = 140,649.48 : x
  2. Step 2: Convert to fraction form
    223,567.60/308,391.65 = 140,649.48/x
  3. Step 3: Cross multiply
    223,567.60x = 308,391.65 × 140,649.48
  4. Step 4: Simplify right side
    223,567.60x = 43,375,124,789.49
  5. Step 5: Solve for x
    x = 43,375,124,789.49/223,567.60
  6. Step 6: Final answer
    x = 194,013.46

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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.