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Finding the Fourth Proportional to 233,144.55, 349,716.02 and 99,938.43

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Solution

The fourth proportional to 233,144.55, 349,716.02 and 99,938.43 is: 149,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,144.55 : 349,716.02 = 99,938.43 : x
  2. Step 2: Convert to fraction form
    233,144.55/349,716.02 = 99,938.43/x
  3. Step 3: Cross multiply
    233,144.55x = 349,716.02 × 99,938.43
  4. Step 4: Simplify right side
    233,144.55x = 34,950,069,484.96
  5. Step 5: Solve for x
    x = 34,950,069,484.96/233,144.55
  6. Step 6: Final answer
    x = 149,907.30

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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.