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Finding the Fourth Proportional to 277,108.86, 382,410 and 149,784.46

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Solution

The fourth proportional to 277,108.86, 382,410 and 149,784.46 is: 206,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,108.86 : 382,410 = 149,784.46 : x
  2. Step 2: Convert to fraction form
    277,108.86/382,410 = 149,784.46/x
  3. Step 3: Cross multiply
    277,108.86x = 382,410 × 149,784.46
  4. Step 4: Simplify right side
    277,108.86x = 57,279,075,348.60
  5. Step 5: Solve for x
    x = 57,279,075,348.60/277,108.86
  6. Step 6: Final answer
    x = 206,702.43

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