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Finding the Fourth Proportional to 101,597.29, 152,351.77 and 54,201.81

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Solution

The fourth proportional to 101,597.29, 152,351.77 and 54,201.81 is: 81,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,597.29 : 152,351.77 = 54,201.81 : x
  2. Step 2: Convert to fraction form
    101,597.29/152,351.77 = 54,201.81/x
  3. Step 3: Cross multiply
    101,597.29x = 152,351.77 × 54,201.81
  4. Step 4: Simplify right side
    101,597.29x = 8,257,742,563.93
  5. Step 5: Solve for x
    x = 8,257,742,563.93/101,597.29
  6. Step 6: Final answer
    x = 81,279.16

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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.