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Finding the Fourth Proportional to 233,934, 350,937.44 and 76,125.20

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Solution

The fourth proportional to 233,934, 350,937.44 and 76,125.20 is: 114,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,934 : 350,937.44 = 76,125.20 : x
  2. Step 2: Convert to fraction form
    233,934/350,937.44 = 76,125.20/x
  3. Step 3: Cross multiply
    233,934x = 350,937.44 × 76,125.20
  4. Step 4: Simplify right side
    233,934x = 26,715,182,807.49
  5. Step 5: Solve for x
    x = 26,715,182,807.49/233,934
  6. Step 6: Final answer
    x = 114,199.66

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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.