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Finding the Fourth Proportional to 200,916.66, 277,267.86 and 110,270.96

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Solution

The fourth proportional to 200,916.66, 277,267.86 and 110,270.96 is: 152,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916.66 : 277,267.86 = 110,270.96 : x
  2. Step 2: Convert to fraction form
    200,916.66/277,267.86 = 110,270.96/x
  3. Step 3: Cross multiply
    200,916.66x = 277,267.86 × 110,270.96
  4. Step 4: Simplify right side
    200,916.66x = 30,574,593,099.35
  5. Step 5: Solve for x
    x = 30,574,593,099.35/200,916.66
  6. Step 6: Final answer
    x = 152,175.50

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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.