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Finding the Fourth Proportional to 233,141.70, 349,712.55 and 182,403.30

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Solution

The fourth proportional to 233,141.70, 349,712.55 and 182,403.30 is: 273,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,141.70 : 349,712.55 = 182,403.30 : x
  2. Step 2: Convert to fraction form
    233,141.70/349,712.55 = 182,403.30/x
  3. Step 3: Cross multiply
    233,141.70x = 349,712.55 × 182,403.30
  4. Step 4: Simplify right side
    233,141.70x = 63,788,723,171.42
  5. Step 5: Solve for x
    x = 63,788,723,171.42/233,141.70
  6. Step 6: Final answer
    x = 273,604.95

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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.