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Finding the Fourth Proportional to 200,744.13, 277,026.90 and 111,320.13

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Solution

The fourth proportional to 200,744.13, 277,026.90 and 111,320.13 is: 153,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.13 : 277,026.90 = 111,320.13 : x
  2. Step 2: Convert to fraction form
    200,744.13/277,026.90 = 111,320.13/x
  3. Step 3: Cross multiply
    200,744.13x = 277,026.90 × 111,320.13
  4. Step 4: Simplify right side
    200,744.13x = 30,838,670,521.50
  5. Step 5: Solve for x
    x = 30,838,670,521.50/200,744.13
  6. Step 6: Final answer
    x = 153,621.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.