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Finding the Fourth Proportional to 115,882.88, 159,920.64 and 75,622.40

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Solution

The fourth proportional to 115,882.88, 159,920.64 and 75,622.40 is: 104,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,882.88 : 159,920.64 = 75,622.40 : x
  2. Step 2: Convert to fraction form
    115,882.88/159,920.64 = 75,622.40/x
  3. Step 3: Cross multiply
    115,882.88x = 159,920.64 × 75,622.40
  4. Step 4: Simplify right side
    115,882.88x = 12,093,582,606.34
  5. Step 5: Solve for x
    x = 12,093,582,606.34/115,882.88
  6. Step 6: Final answer
    x = 104,360.39

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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.