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Finding the Fourth Proportional to 201,514.79, 278,090.38 and 110,868.82

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Solution

The fourth proportional to 201,514.79, 278,090.38 and 110,868.82 is: 152,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,514.79 : 278,090.38 = 110,868.82 : x
  2. Step 2: Convert to fraction form
    201,514.79/278,090.38 = 110,868.82/x
  3. Step 3: Cross multiply
    201,514.79x = 278,090.38 × 110,868.82
  4. Step 4: Simplify right side
    201,514.79x = 30,831,551,727.31
  5. Step 5: Solve for x
    x = 30,831,551,727.31/201,514.79
  6. Step 6: Final answer
    x = 152,998.95

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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.