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Finding the Fourth Proportional to 233,178, 349,770.12 and 73,248.72

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Solution

The fourth proportional to 233,178, 349,770.12 and 73,248.72 is: 109,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178 : 349,770.12 = 73,248.72 : x
  2. Step 2: Convert to fraction form
    233,178/349,770.12 = 73,248.72/x
  3. Step 3: Cross multiply
    233,178x = 349,770.12 × 73,248.72
  4. Step 4: Simplify right side
    233,178x = 25,620,213,584.25
  5. Step 5: Solve for x
    x = 25,620,213,584.25/233,178
  6. Step 6: Final answer
    x = 109,874.06

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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.