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Finding the Fourth Proportional to 159,085.77, 219,517.13 and 98,634.47

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Solution

The fourth proportional to 159,085.77, 219,517.13 and 98,634.47 is: 136,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,085.77 : 219,517.13 = 98,634.47 : x
  2. Step 2: Convert to fraction form
    159,085.77/219,517.13 = 98,634.47/x
  3. Step 3: Cross multiply
    159,085.77x = 219,517.13 × 98,634.47
  4. Step 4: Simplify right side
    159,085.77x = 21,651,954,182.71
  5. Step 5: Solve for x
    x = 21,651,954,182.71/159,085.77
  6. Step 6: Final answer
    x = 136,102.39

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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.