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Finding the Fourth Proportional to 277,290.17, 382,660.69 and 149,965.77

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Solution

The fourth proportional to 277,290.17, 382,660.69 and 149,965.77 is: 206,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,290.17 : 382,660.69 = 149,965.77 : x
  2. Step 2: Convert to fraction form
    277,290.17/382,660.69 = 149,965.77/x
  3. Step 3: Cross multiply
    277,290.17x = 382,660.69 × 149,965.77
  4. Step 4: Simplify right side
    277,290.17x = 57,386,005,024.58
  5. Step 5: Solve for x
    x = 57,386,005,024.58/277,290.17
  6. Step 6: Final answer
    x = 206,952.90

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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.