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Finding the Fourth Proportional to 101,523.11, 152,417.70 and 68,003.69

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Solution

The fourth proportional to 101,523.11, 152,417.70 and 68,003.69 is: 102,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523.11 : 152,417.70 = 68,003.69 : x
  2. Step 2: Convert to fraction form
    101,523.11/152,417.70 = 68,003.69/x
  3. Step 3: Cross multiply
    101,523.11x = 152,417.70 × 68,003.69
  4. Step 4: Simplify right side
    101,523.11x = 10,364,965,259.22
  5. Step 5: Solve for x
    x = 10,364,965,259.22/101,523.11
  6. Step 6: Final answer
    x = 102,094.64

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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.