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Finding the Fourth Proportional to 110,717.76, 152,786.11 and 65,410.33

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Solution

The fourth proportional to 110,717.76, 152,786.11 and 65,410.33 is: 90,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,717.76 : 152,786.11 = 65,410.33 : x
  2. Step 2: Convert to fraction form
    110,717.76/152,786.11 = 65,410.33/x
  3. Step 3: Cross multiply
    110,717.76x = 152,786.11 × 65,410.33
  4. Step 4: Simplify right side
    110,717.76x = 9,993,789,547.46
  5. Step 5: Solve for x
    x = 9,993,789,547.46/110,717.76
  6. Step 6: Final answer
    x = 90,263.66

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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.