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Finding the Fourth Proportional to 100,093.18, 138,122.62 and 54,762.13

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Solution

The fourth proportional to 100,093.18, 138,122.62 and 54,762.13 is: 75,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,093.18 : 138,122.62 = 54,762.13 : x
  2. Step 2: Convert to fraction form
    100,093.18/138,122.62 = 54,762.13/x
  3. Step 3: Cross multiply
    100,093.18x = 138,122.62 × 54,762.13
  4. Step 4: Simplify right side
    100,093.18x = 7,563,888,872.38
  5. Step 5: Solve for x
    x = 7,563,888,872.38/100,093.18
  6. Step 6: Final answer
    x = 75,568.47

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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.