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Finding the Fourth Proportional to 105,921.10, 158,737.47 and 53,366.68

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Solution

The fourth proportional to 105,921.10, 158,737.47 and 53,366.68 is: 79,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,921.10 : 158,737.47 = 53,366.68 : x
  2. Step 2: Convert to fraction form
    105,921.10/158,737.47 = 53,366.68/x
  3. Step 3: Cross multiply
    105,921.10x = 158,737.47 × 53,366.68
  4. Step 4: Simplify right side
    105,921.10x = 8,471,291,765.50
  5. Step 5: Solve for x
    x = 8,471,291,765.50/105,921.10
  6. Step 6: Final answer
    x = 79,977.38

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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.