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Finding the Fourth Proportional to 277,207.84, 382,547.04 and 149,883.52

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Solution

The fourth proportional to 277,207.84, 382,547.04 and 149,883.52 is: 206,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,207.84 : 382,547.04 = 149,883.52 : x
  2. Step 2: Convert to fraction form
    277,207.84/382,547.04 = 149,883.52/x
  3. Step 3: Cross multiply
    277,207.84x = 382,547.04 × 149,883.52
  4. Step 4: Simplify right side
    277,207.84x = 57,337,496,920.78
  5. Step 5: Solve for x
    x = 57,337,496,920.78/277,207.84
  6. Step 6: Final answer
    x = 206,839.38

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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.