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Finding the Fourth Proportional to 233,900.52, 322,835.94 and 138,463.08

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Solution

The fourth proportional to 233,900.52, 322,835.94 and 138,463.08 is: 191,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,900.52 : 322,835.94 = 138,463.08 : x
  2. Step 2: Convert to fraction form
    233,900.52/322,835.94 = 138,463.08/x
  3. Step 3: Cross multiply
    233,900.52x = 322,835.94 × 138,463.08
  4. Step 4: Simplify right side
    233,900.52x = 44,700,858,587.10
  5. Step 5: Solve for x
    x = 44,700,858,587.10/233,900.52
  6. Step 6: Final answer
    x = 191,110.56

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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.