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Finding the Fourth Proportional to 96,118.30, 144,177.43 and 69,989.32

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Solution

The fourth proportional to 96,118.30, 144,177.43 and 69,989.32 is: 104,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,118.30 : 144,177.43 = 69,989.32 : x
  2. Step 2: Convert to fraction form
    96,118.30/144,177.43 = 69,989.32/x
  3. Step 3: Cross multiply
    96,118.30x = 144,177.43 × 69,989.32
  4. Step 4: Simplify right side
    96,118.30x = 10,090,880,285.05
  5. Step 5: Solve for x
    x = 10,090,880,285.05/96,118.30
  6. Step 6: Final answer
    x = 104,983.97

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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.