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Finding the Fourth Proportional to 200,866.81, 277,186.89 and 110,220.52

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Solution

The fourth proportional to 200,866.81, 277,186.89 and 110,220.52 is: 152,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.81 : 277,186.89 = 110,220.52 : x
  2. Step 2: Convert to fraction form
    200,866.81/277,186.89 = 110,220.52/x
  3. Step 3: Cross multiply
    200,866.81x = 277,186.89 × 110,220.52
  4. Step 4: Simplify right side
    200,866.81x = 30,551,683,152.98
  5. Step 5: Solve for x
    x = 30,551,683,152.98/200,866.81
  6. Step 6: Final answer
    x = 152,099.21

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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.