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Finding the Fourth Proportional to 110,356.13, 152,307.86 and 65,019.62

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Solution

The fourth proportional to 110,356.13, 152,307.86 and 65,019.62 is: 89,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356.13 : 152,307.86 = 65,019.62 : x
  2. Step 2: Convert to fraction form
    110,356.13/152,307.86 = 65,019.62/x
  3. Step 3: Cross multiply
    110,356.13x = 152,307.86 × 65,019.62
  4. Step 4: Simplify right side
    110,356.13x = 9,902,998,093.58
  5. Step 5: Solve for x
    x = 9,902,998,093.58/110,356.13
  6. Step 6: Final answer
    x = 89,736.73

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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.