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Finding the Fourth Proportional to 169,914.24, 234,455.04 and 98,288.64

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Solution

The fourth proportional to 169,914.24, 234,455.04 and 98,288.64 is: 135,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,914.24 : 234,455.04 = 98,288.64 : x
  2. Step 2: Convert to fraction form
    169,914.24/234,455.04 = 98,288.64/x
  3. Step 3: Cross multiply
    169,914.24x = 234,455.04 × 98,288.64
  4. Step 4: Simplify right side
    169,914.24x = 23,044,267,022.75
  5. Step 5: Solve for x
    x = 23,044,267,022.75/169,914.24
  6. Step 6: Final answer
    x = 135,622.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.