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Finding the Fourth Proportional to 201,641.86, 278,261.49 and 110,993.14

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Solution

The fourth proportional to 201,641.86, 278,261.49 and 110,993.14 is: 153,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.86 : 278,261.49 = 110,993.14 : x
  2. Step 2: Convert to fraction form
    201,641.86/278,261.49 = 110,993.14/x
  3. Step 3: Cross multiply
    201,641.86x = 278,261.49 × 110,993.14
  4. Step 4: Simplify right side
    201,641.86x = 30,885,116,516.18
  5. Step 5: Solve for x
    x = 30,885,116,516.18/201,641.86
  6. Step 6: Final answer
    x = 153,168.18

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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.