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Finding the Fourth Proportional to 262,192.29, 393,005.87 and 126,970.08

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Solution

The fourth proportional to 262,192.29, 393,005.87 and 126,970.08 is: 190,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,192.29 : 393,005.87 = 126,970.08 : x
  2. Step 2: Convert to fraction form
    262,192.29/393,005.87 = 126,970.08/x
  3. Step 3: Cross multiply
    262,192.29x = 393,005.87 × 126,970.08
  4. Step 4: Simplify right side
    262,192.29x = 49,899,988,046.75
  5. Step 5: Solve for x
    x = 49,899,988,046.75/262,192.29
  6. Step 6: Final answer
    x = 190,318.29

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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.