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Finding the Fourth Proportional to 110,464.66, 152,434.02 and 65,140.48

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Solution

The fourth proportional to 110,464.66, 152,434.02 and 65,140.48 is: 89,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,464.66 : 152,434.02 = 65,140.48 : x
  2. Step 2: Convert to fraction form
    110,464.66/152,434.02 = 65,140.48/x
  3. Step 3: Cross multiply
    110,464.66x = 152,434.02 × 65,140.48
  4. Step 4: Simplify right side
    110,464.66x = 9,929,625,231.13
  5. Step 5: Solve for x
    x = 9,929,625,231.13/110,464.66
  6. Step 6: Final answer
    x = 89,889.61

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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.