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Finding the Fourth Proportional to 233,123.52, 321,709.94 and 131,149.04

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Solution

The fourth proportional to 233,123.52, 321,709.94 and 131,149.04 is: 180,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,123.52 : 321,709.94 = 131,149.04 : x
  2. Step 2: Convert to fraction form
    233,123.52/321,709.94 = 131,149.04/x
  3. Step 3: Cross multiply
    233,123.52x = 321,709.94 × 131,149.04
  4. Step 4: Simplify right side
    233,123.52x = 42,191,949,789.46
  5. Step 5: Solve for x
    x = 42,191,949,789.46/233,123.52
  6. Step 6: Final answer
    x = 180,985.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.