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Finding the Fourth Proportional to 233,930, 350,931.46 and 76,121.22

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Solution

The fourth proportional to 233,930, 350,931.46 and 76,121.22 is: 114,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,930 : 350,931.46 = 76,121.22 : x
  2. Step 2: Convert to fraction form
    233,930/350,931.46 = 76,121.22/x
  3. Step 3: Cross multiply
    233,930x = 350,931.46 × 76,121.22
  4. Step 4: Simplify right side
    233,930x = 26,713,330,871.58
  5. Step 5: Solve for x
    x = 26,713,330,871.58/233,930
  6. Step 6: Final answer
    x = 114,193.69

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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.