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Finding the Fourth Proportional to 110,092.32, 164,730.24 and 65,743.20

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Solution

The fourth proportional to 110,092.32, 164,730.24 and 65,743.20 is: 98,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,092.32 : 164,730.24 = 65,743.20 : x
  2. Step 2: Convert to fraction form
    110,092.32/164,730.24 = 65,743.20/x
  3. Step 3: Cross multiply
    110,092.32x = 164,730.24 × 65,743.20
  4. Step 4: Simplify right side
    110,092.32x = 10,829,893,114.37
  5. Step 5: Solve for x
    x = 10,829,893,114.37/110,092.32
  6. Step 6: Final answer
    x = 98,371.01

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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.