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Finding the Fourth Proportional to 105,686.94, 158,530.42 and 26,801.04

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Solution

The fourth proportional to 105,686.94, 158,530.42 and 26,801.04 is: 40,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,686.94 : 158,530.42 = 26,801.04 : x
  2. Step 2: Convert to fraction form
    105,686.94/158,530.42 = 26,801.04/x
  3. Step 3: Cross multiply
    105,686.94x = 158,530.42 × 26,801.04
  4. Step 4: Simplify right side
    105,686.94x = 4,248,780,127.64
  5. Step 5: Solve for x
    x = 4,248,780,127.64/105,686.94
  6. Step 6: Final answer
    x = 40,201.56

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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.