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Finding the Fourth Proportional to 109,852.92, 164,866.86 and 43,309.80

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Solution

The fourth proportional to 109,852.92, 164,866.86 and 43,309.80 is: 64,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.92 : 164,866.86 = 43,309.80 : x
  2. Step 2: Convert to fraction form
    109,852.92/164,866.86 = 43,309.80/x
  3. Step 3: Cross multiply
    109,852.92x = 164,866.86 × 43,309.80
  4. Step 4: Simplify right side
    109,852.92x = 7,140,350,733.23
  5. Step 5: Solve for x
    x = 7,140,350,733.23/109,852.92
  6. Step 6: Final answer
    x = 64,999.19

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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.