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Finding the Fourth Proportional to 105,800.82, 158,700.51 and 26,914.34

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Solution

The fourth proportional to 105,800.82, 158,700.51 and 26,914.34 is: 40,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,800.82 : 158,700.51 = 26,914.34 : x
  2. Step 2: Convert to fraction form
    105,800.82/158,700.51 = 26,914.34/x
  3. Step 3: Cross multiply
    105,800.82x = 158,700.51 × 26,914.34
  4. Step 4: Simplify right side
    105,800.82x = 4,271,319,484.31
  5. Step 5: Solve for x
    x = 4,271,319,484.31/105,800.82
  6. Step 6: Final answer
    x = 40,371.33

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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.