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Finding the Fourth Proportional to 277,005.67, 382,298.20 and 160,744.75

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Solution

The fourth proportional to 277,005.67, 382,298.20 and 160,744.75 is: 221,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,005.67 : 382,298.20 = 160,744.75 : x
  2. Step 2: Convert to fraction form
    277,005.67/382,298.20 = 160,744.75/x
  3. Step 3: Cross multiply
    277,005.67x = 382,298.20 × 160,744.75
  4. Step 4: Simplify right side
    277,005.67x = 61,452,428,584.45
  5. Step 5: Solve for x
    x = 61,452,428,584.45/277,005.67
  6. Step 6: Final answer
    x = 221,845.38

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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.