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Finding the Fourth Proportional to 100,944.65, 151,222.92 and 56,436.42

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Solution

The fourth proportional to 100,944.65, 151,222.92 and 56,436.42 is: 84,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944.65 : 151,222.92 = 56,436.42 : x
  2. Step 2: Convert to fraction form
    100,944.65/151,222.92 = 56,436.42/x
  3. Step 3: Cross multiply
    100,944.65x = 151,222.92 × 56,436.42
  4. Step 4: Simplify right side
    100,944.65x = 8,534,480,226.75
  5. Step 5: Solve for x
    x = 8,534,480,226.75/100,944.65
  6. Step 6: Final answer
    x = 84,546.14

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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.