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Finding the Fourth Proportional to 101,166.56, 151,749.67 and 30,088.86

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Solution

The fourth proportional to 101,166.56, 151,749.67 and 30,088.86 is: 45,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,166.56 : 151,749.67 = 30,088.86 : x
  2. Step 2: Convert to fraction form
    101,166.56/151,749.67 = 30,088.86/x
  3. Step 3: Cross multiply
    101,166.56x = 151,749.67 × 30,088.86
  4. Step 4: Simplify right side
    101,166.56x = 4,565,974,575.68
  5. Step 5: Solve for x
    x = 4,565,974,575.68/101,166.56
  6. Step 6: Final answer
    x = 45,133.24

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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.