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Finding the Fourth Proportional to 201,737, 302,578.26 and 83,391.92

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Solution

The fourth proportional to 201,737, 302,578.26 and 83,391.92 is: 125,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,737 : 302,578.26 = 83,391.92 : x
  2. Step 2: Convert to fraction form
    201,737/302,578.26 = 83,391.92/x
  3. Step 3: Cross multiply
    201,737x = 302,578.26 × 83,391.92
  4. Step 4: Simplify right side
    201,737x = 25,232,582,051.66
  5. Step 5: Solve for x
    x = 25,232,582,051.66/201,737
  6. Step 6: Final answer
    x = 125,076.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.