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Finding the Fourth Proportional to 110,264.64, 152,166.24 and 65,544

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Solution

The fourth proportional to 110,264.64, 152,166.24 and 65,544 is: 90,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,264.64 : 152,166.24 = 65,544 : x
  2. Step 2: Convert to fraction form
    110,264.64/152,166.24 = 65,544/x
  3. Step 3: Cross multiply
    110,264.64x = 152,166.24 × 65,544
  4. Step 4: Simplify right side
    110,264.64x = 9,973,584,034.56
  5. Step 5: Solve for x
    x = 9,973,584,034.56/110,264.64
  6. Step 6: Final answer
    x = 90,451.34

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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.