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Finding the Fourth Proportional to 233,873.10, 350,846.40 and 76,064.65

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Solution

The fourth proportional to 233,873.10, 350,846.40 and 76,064.65 is: 114,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,873.10 : 350,846.40 = 76,064.65 : x
  2. Step 2: Convert to fraction form
    233,873.10/350,846.40 = 76,064.65/x
  3. Step 3: Cross multiply
    233,873.10x = 350,846.40 × 76,064.65
  4. Step 4: Simplify right side
    233,873.10x = 26,687,008,027.89
  5. Step 5: Solve for x
    x = 26,687,008,027.89/233,873.10
  6. Step 6: Final answer
    x = 114,108.93

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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.