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Finding the Fourth Proportional to 291,874, 402,786.12 and 157,738

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Solution

The fourth proportional to 291,874, 402,786.12 and 157,738 is: 217,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,874 : 402,786.12 = 157,738 : x
  2. Step 2: Convert to fraction form
    291,874/402,786.12 = 157,738/x
  3. Step 3: Cross multiply
    291,874x = 402,786.12 × 157,738
  4. Step 4: Simplify right side
    291,874x = 63,534,676,996.56
  5. Step 5: Solve for x
    x = 63,534,676,996.56/291,874
  6. Step 6: Final answer
    x = 217,678.44

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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.