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Finding the Fourth Proportional to 277,374, 416,130.12 and 80,382

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Solution

The fourth proportional to 277,374, 416,130.12 and 80,382 is: 120,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,374 : 416,130.12 = 80,382 : x
  2. Step 2: Convert to fraction form
    277,374/416,130.12 = 80,382/x
  3. Step 3: Cross multiply
    277,374x = 416,130.12 × 80,382
  4. Step 4: Simplify right side
    277,374x = 33,449,371,305.84
  5. Step 5: Solve for x
    x = 33,449,371,305.84/277,374
  6. Step 6: Final answer
    x = 120,593.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.