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Finding the Fourth Proportional to 102,834.87, 154,179.86 and 39,602.01

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Solution

The fourth proportional to 102,834.87, 154,179.86 and 39,602.01 is: 59,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,834.87 : 154,179.86 = 39,602.01 : x
  2. Step 2: Convert to fraction form
    102,834.87/154,179.86 = 39,602.01/x
  3. Step 3: Cross multiply
    102,834.87x = 154,179.86 × 39,602.01
  4. Step 4: Simplify right side
    102,834.87x = 6,105,832,737.68
  5. Step 5: Solve for x
    x = 6,105,832,737.68/102,834.87
  6. Step 6: Final answer
    x = 59,375.12

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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.