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Finding the Fourth Proportional to 233,142.31, 349,255.83 and 120,895.90

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Solution

The fourth proportional to 233,142.31, 349,255.83 and 120,895.90 is: 181,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,142.31 : 349,255.83 = 120,895.90 : x
  2. Step 2: Convert to fraction form
    233,142.31/349,255.83 = 120,895.90/x
  3. Step 3: Cross multiply
    233,142.31x = 349,255.83 × 120,895.90
  4. Step 4: Simplify right side
    233,142.31x = 42,223,597,024.96
  5. Step 5: Solve for x
    x = 42,223,597,024.96/233,142.31
  6. Step 6: Final answer
    x = 181,106.54

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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.