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Finding the Fourth Proportional to 251,057.84, 346,307.67 and 149,016.06

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Solution

The fourth proportional to 251,057.84, 346,307.67 and 149,016.06 is: 205,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,057.84 : 346,307.67 = 149,016.06 : x
  2. Step 2: Convert to fraction form
    251,057.84/346,307.67 = 149,016.06/x
  3. Step 3: Cross multiply
    251,057.84x = 346,307.67 × 149,016.06
  4. Step 4: Simplify right side
    251,057.84x = 51,605,404,531.18
  5. Step 5: Solve for x
    x = 51,605,404,531.18/251,057.84
  6. Step 6: Final answer
    x = 205,551.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.