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Finding the Fourth Proportional to 223,325.27, 334,799.50 and 96,870.31

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Solution

The fourth proportional to 223,325.27, 334,799.50 and 96,870.31 is: 145,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,325.27 : 334,799.50 = 96,870.31 : x
  2. Step 2: Convert to fraction form
    223,325.27/334,799.50 = 96,870.31/x
  3. Step 3: Cross multiply
    223,325.27x = 334,799.50 × 96,870.31
  4. Step 4: Simplify right side
    223,325.27x = 32,432,131,352.85
  5. Step 5: Solve for x
    x = 32,432,131,352.85/223,325.27
  6. Step 6: Final answer
    x = 145,223.74

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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.