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Finding the Fourth Proportional to 101,876.57, 152,806.02 and 45,701.64

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Solution

The fourth proportional to 101,876.57, 152,806.02 and 45,701.64 is: 68,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,876.57 : 152,806.02 = 45,701.64 : x
  2. Step 2: Convert to fraction form
    101,876.57/152,806.02 = 45,701.64/x
  3. Step 3: Cross multiply
    101,876.57x = 152,806.02 × 45,701.64
  4. Step 4: Simplify right side
    101,876.57x = 6,983,485,715.87
  5. Step 5: Solve for x
    x = 6,983,485,715.87/101,876.57
  6. Step 6: Final answer
    x = 68,548.50

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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.