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Finding the Fourth Proportional to 157,443.91, 217,264.41 and 89,451.47

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Solution

The fourth proportional to 157,443.91, 217,264.41 and 89,451.47 is: 123,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,443.91 : 217,264.41 = 89,451.47 : x
  2. Step 2: Convert to fraction form
    157,443.91/217,264.41 = 89,451.47/x
  3. Step 3: Cross multiply
    157,443.91x = 217,264.41 × 89,451.47
  4. Step 4: Simplify right side
    157,443.91x = 19,434,621,396.34
  5. Step 5: Solve for x
    x = 19,434,621,396.34/157,443.91
  6. Step 6: Final answer
    x = 123,438.38

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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.