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Finding the Fourth Proportional to 149,076.48, 205,713.09 and 87,812.94

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Solution

The fourth proportional to 149,076.48, 205,713.09 and 87,812.94 is: 121,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,076.48 : 205,713.09 = 87,812.94 : x
  2. Step 2: Convert to fraction form
    149,076.48/205,713.09 = 87,812.94/x
  3. Step 3: Cross multiply
    149,076.48x = 205,713.09 × 87,812.94
  4. Step 4: Simplify right side
    149,076.48x = 18,064,271,229.38
  5. Step 5: Solve for x
    x = 18,064,271,229.38/149,076.48
  6. Step 6: Final answer
    x = 121,174.52

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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.