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Finding the Fourth Proportional to 169,025.94, 253,538.91 and 137,398.28

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Solution

The fourth proportional to 169,025.94, 253,538.91 and 137,398.28 is: 206,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,025.94 : 253,538.91 = 137,398.28 : x
  2. Step 2: Convert to fraction form
    169,025.94/253,538.91 = 137,398.28/x
  3. Step 3: Cross multiply
    169,025.94x = 253,538.91 × 137,398.28
  4. Step 4: Simplify right side
    169,025.94x = 34,835,808,879.38
  5. Step 5: Solve for x
    x = 34,835,808,879.38/169,025.94
  6. Step 6: Final answer
    x = 206,097.41

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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.