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Finding the Fourth Proportional to 233,113.62, 349,670.40 and 154,209.42

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Solution

The fourth proportional to 233,113.62, 349,670.40 and 154,209.42 is: 231,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,113.62 : 349,670.40 = 154,209.42 : x
  2. Step 2: Convert to fraction form
    233,113.62/349,670.40 = 154,209.42/x
  3. Step 3: Cross multiply
    233,113.62x = 349,670.40 × 154,209.42
  4. Step 4: Simplify right side
    233,113.62x = 53,922,469,575.17
  5. Step 5: Solve for x
    x = 53,922,469,575.17/233,113.62
  6. Step 6: Final answer
    x = 231,314.11

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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.