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Finding the Fourth Proportional to 98,847, 147,898.50 and 69,322.44

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Solution

The fourth proportional to 98,847, 147,898.50 and 69,322.44 is: 103,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,847 : 147,898.50 = 69,322.44 : x
  2. Step 2: Convert to fraction form
    98,847/147,898.50 = 69,322.44/x
  3. Step 3: Cross multiply
    98,847x = 147,898.50 × 69,322.44
  4. Step 4: Simplify right side
    98,847x = 10,252,684,892.34
  5. Step 5: Solve for x
    x = 10,252,684,892.34/98,847
  6. Step 6: Final answer
    x = 103,722.77

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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.