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Finding the Fourth Proportional to 105,838.04, 158,734.02 and 53,191.64

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Solution

The fourth proportional to 105,838.04, 158,734.02 and 53,191.64 is: 79,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,838.04 : 158,734.02 = 53,191.64 : x
  2. Step 2: Convert to fraction form
    105,838.04/158,734.02 = 53,191.64/x
  3. Step 3: Cross multiply
    105,838.04x = 158,734.02 × 53,191.64
  4. Step 4: Simplify right side
    105,838.04x = 8,443,322,847.59
  5. Step 5: Solve for x
    x = 8,443,322,847.59/105,838.04
  6. Step 6: Final answer
    x = 79,775.88

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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.