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Finding the Fourth Proportional to 200,869.53, 277,217.16 and 110,243.01

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Solution

The fourth proportional to 200,869.53, 277,217.16 and 110,243.01 is: 152,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869.53 : 277,217.16 = 110,243.01 : x
  2. Step 2: Convert to fraction form
    200,869.53/277,217.16 = 110,243.01/x
  3. Step 3: Cross multiply
    200,869.53x = 277,217.16 × 110,243.01
  4. Step 4: Simplify right side
    200,869.53x = 30,561,254,142.05
  5. Step 5: Solve for x
    x = 30,561,254,142.05/200,869.53
  6. Step 6: Final answer
    x = 152,144.80

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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.