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Finding the Fourth Proportional to 200,990.16, 277,366.91 and 110,351.97

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Solution

The fourth proportional to 200,990.16, 277,366.91 and 110,351.97 is: 152,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,990.16 : 277,366.91 = 110,351.97 : x
  2. Step 2: Convert to fraction form
    200,990.16/277,366.91 = 110,351.97/x
  3. Step 3: Cross multiply
    200,990.16x = 277,366.91 × 110,351.97
  4. Step 4: Simplify right side
    200,990.16x = 30,607,984,379.55
  5. Step 5: Solve for x
    x = 30,607,984,379.55/200,990.16
  6. Step 6: Final answer
    x = 152,285.98

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1.5x scale

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.