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Finding the Fourth Proportional to 277,290.84, 382,661.37 and 149,966.40

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Solution

The fourth proportional to 277,290.84, 382,661.37 and 149,966.40 is: 206,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,290.84 : 382,661.37 = 149,966.40 : x
  2. Step 2: Convert to fraction form
    277,290.84/382,661.37 = 149,966.40/x
  3. Step 3: Cross multiply
    277,290.84x = 382,661.37 × 149,966.40
  4. Step 4: Simplify right side
    277,290.84x = 57,386,348,077.97
  5. Step 5: Solve for x
    x = 57,386,348,077.97/277,290.84
  6. Step 6: Final answer
    x = 206,953.64

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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.