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Finding the Fourth Proportional to 356,892.26, 492,525.10 and 195,754.10

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Solution

The fourth proportional to 356,892.26, 492,525.10 and 195,754.10 is: 270,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,892.26 : 492,525.10 = 195,754.10 : x
  2. Step 2: Convert to fraction form
    356,892.26/492,525.10 = 195,754.10/x
  3. Step 3: Cross multiply
    356,892.26x = 492,525.10 × 195,754.10
  4. Step 4: Simplify right side
    356,892.26x = 96,413,807,677.91
  5. Step 5: Solve for x
    x = 96,413,807,677.91/356,892.26
  6. Step 6: Final answer
    x = 270,148.22

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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.