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Finding the Fourth Proportional to 233,099.67, 349,649.51 and 154,195.46

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Solution

The fourth proportional to 233,099.67, 349,649.51 and 154,195.46 is: 231,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,099.67 : 349,649.51 = 154,195.46 : x
  2. Step 2: Convert to fraction form
    233,099.67/349,649.51 = 154,195.46/x
  3. Step 3: Cross multiply
    233,099.67x = 349,649.51 × 154,195.46
  4. Step 4: Simplify right side
    233,099.67x = 53,914,364,514.00
  5. Step 5: Solve for x
    x = 53,914,364,514.00/233,099.67
  6. Step 6: Final answer
    x = 231,293.18

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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.