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Finding the Fourth Proportional to 282,374.92, 389,690.10 and 169,195.24

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Solution

The fourth proportional to 282,374.92, 389,690.10 and 169,195.24 is: 233,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,374.92 : 389,690.10 = 169,195.24 : x
  2. Step 2: Convert to fraction form
    282,374.92/389,690.10 = 169,195.24/x
  3. Step 3: Cross multiply
    282,374.92x = 389,690.10 × 169,195.24
  4. Step 4: Simplify right side
    282,374.92x = 65,933,709,995.12
  5. Step 5: Solve for x
    x = 65,933,709,995.12/282,374.92
  6. Step 6: Final answer
    x = 233,497.05

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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.