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Finding the Fourth Proportional to 233,188.23, 349,793.28 and 75,429

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Solution

The fourth proportional to 233,188.23, 349,793.28 and 75,429 is: 113,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,188.23 : 349,793.28 = 75,429 : x
  2. Step 2: Convert to fraction form
    233,188.23/349,793.28 = 75,429/x
  3. Step 3: Cross multiply
    233,188.23x = 349,793.28 × 75,429
  4. Step 4: Simplify right side
    233,188.23x = 26,384,557,317.12
  5. Step 5: Solve for x
    x = 26,384,557,317.12/233,188.23
  6. Step 6: Final answer
    x = 113,147.04

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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.