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Finding the Fourth Proportional to 233,230.68, 349,896.96 and 75,475.08

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Solution

The fourth proportional to 233,230.68, 349,896.96 and 75,475.08 is: 113,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,230.68 : 349,896.96 = 75,475.08 : x
  2. Step 2: Convert to fraction form
    233,230.68/349,896.96 = 75,475.08/x
  3. Step 3: Cross multiply
    233,230.68x = 349,896.96 × 75,475.08
  4. Step 4: Simplify right side
    233,230.68x = 26,408,501,047.76
  5. Step 5: Solve for x
    x = 26,408,501,047.76/233,230.68
  6. Step 6: Final answer
    x = 113,229.10

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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.