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Finding the Fourth Proportional to 233,101.67, 349,652.51 and 154,197.46

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Solution

The fourth proportional to 233,101.67, 349,652.51 and 154,197.46 is: 231,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,101.67 : 349,652.51 = 154,197.46 : x
  2. Step 2: Convert to fraction form
    233,101.67/349,652.51 = 154,197.46/x
  3. Step 3: Cross multiply
    233,101.67x = 349,652.51 × 154,197.46
  4. Step 4: Simplify right side
    233,101.67x = 53,915,528,924.62
  5. Step 5: Solve for x
    x = 53,915,528,924.62/233,101.67
  6. Step 6: Final answer
    x = 231,296.19

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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.