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Finding the Fourth Proportional to 233,102.76, 349,654.07 and 154,198.53

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Solution

The fourth proportional to 233,102.76, 349,654.07 and 154,198.53 is: 231,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,102.76 : 349,654.07 = 154,198.53 : x
  2. Step 2: Convert to fraction form
    233,102.76/349,654.07 = 154,198.53/x
  3. Step 3: Cross multiply
    233,102.76x = 349,654.07 × 154,198.53
  4. Step 4: Simplify right side
    233,102.76x = 53,916,142,831.52
  5. Step 5: Solve for x
    x = 53,916,142,831.52/233,102.76
  6. Step 6: Final answer
    x = 231,297.75

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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.