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Finding the Fourth Proportional to 200,871.42, 277,193.28 and 110,225.16

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Solution

The fourth proportional to 200,871.42, 277,193.28 and 110,225.16 is: 152,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871.42 : 277,193.28 = 110,225.16 : x
  2. Step 2: Convert to fraction form
    200,871.42/277,193.28 = 110,225.16/x
  3. Step 3: Cross multiply
    200,871.42x = 277,193.28 × 110,225.16
  4. Step 4: Simplify right side
    200,871.42x = 30,553,673,638.92
  5. Step 5: Solve for x
    x = 30,553,673,638.92/200,871.42
  6. Step 6: Final answer
    x = 152,105.63

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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.