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Finding the Fourth Proportional to 223,308.74, 334,774.82 and 96,853.78

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Solution

The fourth proportional to 223,308.74, 334,774.82 and 96,853.78 is: 145,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,308.74 : 334,774.82 = 96,853.78 : x
  2. Step 2: Convert to fraction form
    223,308.74/334,774.82 = 96,853.78/x
  3. Step 3: Cross multiply
    223,308.74x = 334,774.82 × 96,853.78
  4. Step 4: Simplify right side
    223,308.74x = 32,424,206,765.82
  5. Step 5: Solve for x
    x = 32,424,206,765.82/223,308.74
  6. Step 6: Final answer
    x = 145,199.00

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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.