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Finding the Fourth Proportional to 200,802.96, 277,111.78 and 110,163.56

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Solution

The fourth proportional to 200,802.96, 277,111.78 and 110,163.56 is: 152,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.96 : 277,111.78 = 110,163.56 : x
  2. Step 2: Convert to fraction form
    200,802.96/277,111.78 = 110,163.56/x
  3. Step 3: Cross multiply
    200,802.96x = 277,111.78 × 110,163.56
  4. Step 4: Simplify right side
    200,802.96x = 30,527,620,202.74
  5. Step 5: Solve for x
    x = 30,527,620,202.74/200,802.96
  6. Step 6: Final answer
    x = 152,027.74

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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.