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Finding the Fourth Proportional to 277,006.91, 382,269.53 and 149,682.50

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Solution

The fourth proportional to 277,006.91, 382,269.53 and 149,682.50 is: 206,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,006.91 : 382,269.53 = 149,682.50 : x
  2. Step 2: Convert to fraction form
    277,006.91/382,269.53 = 149,682.50/x
  3. Step 3: Cross multiply
    277,006.91x = 382,269.53 × 149,682.50
  4. Step 4: Simplify right side
    277,006.91x = 57,219,056,264.46
  5. Step 5: Solve for x
    x = 57,219,056,264.46/277,006.91
  6. Step 6: Final answer
    x = 206,561.84

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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.