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Finding the Fourth Proportional to 277,164.31, 382,487.66 and 149,840.82

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Solution

The fourth proportional to 277,164.31, 382,487.66 and 149,840.82 is: 206,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,164.31 : 382,487.66 = 149,840.82 : x
  2. Step 2: Convert to fraction form
    277,164.31/382,487.66 = 149,840.82/x
  3. Step 3: Cross multiply
    277,164.31x = 382,487.66 × 149,840.82
  4. Step 4: Simplify right side
    277,164.31x = 57,312,264,614.28
  5. Step 5: Solve for x
    x = 57,312,264,614.28/277,164.31
  6. Step 6: Final answer
    x = 206,780.82

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1.5x scale

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.