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Finding the Fourth Proportional to 109,386.80, 164,080.20 and 102,005.68

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Solution

The fourth proportional to 109,386.80, 164,080.20 and 102,005.68 is: 153,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,386.80 : 164,080.20 = 102,005.68 : x
  2. Step 2: Convert to fraction form
    109,386.80/164,080.20 = 102,005.68/x
  3. Step 3: Cross multiply
    109,386.80x = 164,080.20 × 102,005.68
  4. Step 4: Simplify right side
    109,386.80x = 16,737,112,375.54
  5. Step 5: Solve for x
    x = 16,737,112,375.54/109,386.80
  6. Step 6: Final answer
    x = 153,008.52

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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.