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Finding the Fourth Proportional to 100,274.30, 138,360.99 and 57,234.14

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Solution

The fourth proportional to 100,274.30, 138,360.99 and 57,234.14 is: 78,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.30 : 138,360.99 = 57,234.14 : x
  2. Step 2: Convert to fraction form
    100,274.30/138,360.99 = 57,234.14/x
  3. Step 3: Cross multiply
    100,274.30x = 138,360.99 × 57,234.14
  4. Step 4: Simplify right side
    100,274.30x = 7,918,972,069.38
  5. Step 5: Solve for x
    x = 7,918,972,069.38/100,274.30
  6. Step 6: Final answer
    x = 78,973.10

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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.