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Finding the Fourth Proportional to 157,074, 216,837.41 and 96,696.40

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Solution

The fourth proportional to 157,074, 216,837.41 and 96,696.40 is: 133,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,074 : 216,837.41 = 96,696.40 : x
  2. Step 2: Convert to fraction form
    157,074/216,837.41 = 96,696.40/x
  3. Step 3: Cross multiply
    157,074x = 216,837.41 × 96,696.40
  4. Step 4: Simplify right side
    157,074x = 20,967,396,932.32
  5. Step 5: Solve for x
    x = 20,967,396,932.32/157,074
  6. Step 6: Final answer
    x = 133,487.38

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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.