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Finding the Fourth Proportional to 223,308.91, 334,775.08 and 96,853.95

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Solution

The fourth proportional to 223,308.91, 334,775.08 and 96,853.95 is: 145,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,308.91 : 334,775.08 = 96,853.95 : x
  2. Step 2: Convert to fraction form
    223,308.91/334,775.08 = 96,853.95/x
  3. Step 3: Cross multiply
    223,308.91x = 334,775.08 × 96,853.95
  4. Step 4: Simplify right side
    223,308.91x = 32,424,288,375.30
  5. Step 5: Solve for x
    x = 32,424,288,375.30/223,308.91
  6. Step 6: Final answer
    x = 145,199.26

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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.