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Finding the Fourth Proportional to 105,230.64, 157,854.06 and 35,109.84

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Solution

The fourth proportional to 105,230.64, 157,854.06 and 35,109.84 is: 52,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,230.64 : 157,854.06 = 35,109.84 : x
  2. Step 2: Convert to fraction form
    105,230.64/157,854.06 = 35,109.84/x
  3. Step 3: Cross multiply
    105,230.64x = 157,854.06 × 35,109.84
  4. Step 4: Simplify right side
    105,230.64x = 5,542,230,789.95
  5. Step 5: Solve for x
    x = 5,542,230,789.95/105,230.64
  6. Step 6: Final answer
    x = 52,667.46

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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.