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Finding the Fourth Proportional to 157,382.76, 217,181.38 and 89,399.52

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Solution

The fourth proportional to 157,382.76, 217,181.38 and 89,399.52 is: 123,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,382.76 : 217,181.38 = 89,399.52 : x
  2. Step 2: Convert to fraction form
    157,382.76/217,181.38 = 89,399.52/x
  3. Step 3: Cross multiply
    157,382.76x = 217,181.38 × 89,399.52
  4. Step 4: Simplify right side
    157,382.76x = 19,415,911,124.94
  5. Step 5: Solve for x
    x = 19,415,911,124.94/157,382.76
  6. Step 6: Final answer
    x = 123,367.46

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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.