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Finding the Fourth Proportional to 110,024.30, 164,824.22 and 65,686.52

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Solution

The fourth proportional to 110,024.30, 164,824.22 and 65,686.52 is: 98,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,024.30 : 164,824.22 = 65,686.52 : x
  2. Step 2: Convert to fraction form
    110,024.30/164,824.22 = 65,686.52/x
  3. Step 3: Cross multiply
    110,024.30x = 164,824.22 × 65,686.52
  4. Step 4: Simplify right side
    110,024.30x = 10,826,729,423.51
  5. Step 5: Solve for x
    x = 10,826,729,423.51/110,024.30
  6. Step 6: Final answer
    x = 98,403.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.