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Finding the Fourth Proportional to 233,557.72, 322,291.38 and 131,578.72

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Solution

The fourth proportional to 233,557.72, 322,291.38 and 131,578.72 is: 181,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,557.72 : 322,291.38 = 131,578.72 : x
  2. Step 2: Convert to fraction form
    233,557.72/322,291.38 = 131,578.72/x
  3. Step 3: Cross multiply
    233,557.72x = 322,291.38 × 131,578.72
  4. Step 4: Simplify right side
    233,557.72x = 42,406,687,247.43
  5. Step 5: Solve for x
    x = 42,406,687,247.43/233,557.72
  6. Step 6: Final answer
    x = 181,568.34

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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.