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Finding the Fourth Proportional to 277,181.12, 382,509.98 and 149,856.68

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Solution

The fourth proportional to 277,181.12, 382,509.98 and 149,856.68 is: 206,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,181.12 : 382,509.98 = 149,856.68 : x
  2. Step 2: Convert to fraction form
    277,181.12/382,509.98 = 149,856.68/x
  3. Step 3: Cross multiply
    277,181.12x = 382,509.98 × 149,856.68
  4. Step 4: Simplify right side
    277,181.12x = 57,321,675,669.67
  5. Step 5: Solve for x
    x = 57,321,675,669.67/277,181.12
  6. Step 6: Final answer
    x = 206,802.24

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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.