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Finding the Fourth Proportional to 201,280.68, 277,772.10 and 110,635.96

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Solution

The fourth proportional to 201,280.68, 277,772.10 and 110,635.96 is: 152,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.68 : 277,772.10 = 110,635.96 : x
  2. Step 2: Convert to fraction form
    201,280.68/277,772.10 = 110,635.96/x
  3. Step 3: Cross multiply
    201,280.68x = 277,772.10 × 110,635.96
  4. Step 4: Simplify right side
    201,280.68x = 30,731,582,944.72
  5. Step 5: Solve for x
    x = 30,731,582,944.72/201,280.68
  6. Step 6: Final answer
    x = 152,680.24

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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.