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Finding the Fourth Proportional to 233,194.98, 349,803.41 and 75,435.74

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Solution

The fourth proportional to 233,194.98, 349,803.41 and 75,435.74 is: 113,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,194.98 : 349,803.41 = 75,435.74 : x
  2. Step 2: Convert to fraction form
    233,194.98/349,803.41 = 75,435.74/x
  3. Step 3: Cross multiply
    233,194.98x = 349,803.41 × 75,435.74
  4. Step 4: Simplify right side
    233,194.98x = 26,387,676,961.68
  5. Step 5: Solve for x
    x = 26,387,676,961.68/233,194.98
  6. Step 6: Final answer
    x = 113,157.14

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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.