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Finding the Fourth Proportional to 115,834.74, 159,821.34 and 72,820.71

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Solution

The fourth proportional to 115,834.74, 159,821.34 and 72,820.71 is: 100,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,834.74 : 159,821.34 = 72,820.71 : x
  2. Step 2: Convert to fraction form
    115,834.74/159,821.34 = 72,820.71/x
  3. Step 3: Cross multiply
    115,834.74x = 159,821.34 × 72,820.71
  4. Step 4: Simplify right side
    115,834.74x = 11,638,303,451.95
  5. Step 5: Solve for x
    x = 11,638,303,451.95/115,834.74
  6. Step 6: Final answer
    x = 100,473.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.