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Finding the Fourth Proportional to 164,387.46, 226,841.77 and 100,716.60

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Solution

The fourth proportional to 164,387.46, 226,841.77 and 100,716.60 is: 138,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,387.46 : 226,841.77 = 100,716.60 : x
  2. Step 2: Convert to fraction form
    164,387.46/226,841.77 = 100,716.60/x
  3. Step 3: Cross multiply
    164,387.46x = 226,841.77 × 100,716.60
  4. Step 4: Simplify right side
    164,387.46x = 22,846,730,426.38
  5. Step 5: Solve for x
    x = 22,846,730,426.38/164,387.46
  6. Step 6: Final answer
    x = 138,980.99

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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.