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Finding the Fourth Proportional to 223,309.05, 334,775.26 and 96,854.05

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Solution

The fourth proportional to 223,309.05, 334,775.26 and 96,854.05 is: 145,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,309.05 : 334,775.26 = 96,854.05 : x
  2. Step 2: Convert to fraction form
    223,309.05/334,775.26 = 96,854.05/x
  3. Step 3: Cross multiply
    223,309.05x = 334,775.26 × 96,854.05
  4. Step 4: Simplify right side
    223,309.05x = 32,424,339,765.54
  5. Step 5: Solve for x
    x = 32,424,339,765.54/223,309.05
  6. Step 6: Final answer
    x = 145,199.40

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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.