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Finding the Fourth Proportional to 293,137, 439,593.41 and 159,946.06

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Solution

The fourth proportional to 293,137, 439,593.41 and 159,946.06 is: 239,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,137 : 439,593.41 = 159,946.06 : x
  2. Step 2: Convert to fraction form
    293,137/439,593.41 = 159,946.06/x
  3. Step 3: Cross multiply
    293,137x = 439,593.41 × 159,946.06
  4. Step 4: Simplify right side
    293,137x = 70,311,233,931.46
  5. Step 5: Solve for x
    x = 70,311,233,931.46/293,137
  6. Step 6: Final answer
    x = 239,857.93

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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.