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Finding the Fourth Proportional to 271,938.95, 375,282.44 and 149,430.33

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Solution

The fourth proportional to 271,938.95, 375,282.44 and 149,430.33 is: 206,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,938.95 : 375,282.44 = 149,430.33 : x
  2. Step 2: Convert to fraction form
    271,938.95/375,282.44 = 149,430.33/x
  3. Step 3: Cross multiply
    271,938.95x = 375,282.44 × 149,430.33
  4. Step 4: Simplify right side
    271,938.95x = 56,078,578,852.41
  5. Step 5: Solve for x
    x = 56,078,578,852.41/271,938.95
  6. Step 6: Final answer
    x = 206,217.53

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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.