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Finding the Fourth Proportional to 233,307.78, 349,959.35 and 106,912.16

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Solution

The fourth proportional to 233,307.78, 349,959.35 and 106,912.16 is: 160,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307.78 : 349,959.35 = 106,912.16 : x
  2. Step 2: Convert to fraction form
    233,307.78/349,959.35 = 106,912.16/x
  3. Step 3: Cross multiply
    233,307.78x = 349,959.35 × 106,912.16
  4. Step 4: Simplify right side
    233,307.78x = 37,414,907,736.34
  5. Step 5: Solve for x
    x = 37,414,907,736.34/233,307.78
  6. Step 6: Final answer
    x = 160,367.17

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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.