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Finding the Fourth Proportional to 282,098.73, 389,296.23 and 161,242.62

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Solution

The fourth proportional to 282,098.73, 389,296.23 and 161,242.62 is: 222,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,098.73 : 389,296.23 = 161,242.62 : x
  2. Step 2: Convert to fraction form
    282,098.73/389,296.23 = 161,242.62/x
  3. Step 3: Cross multiply
    282,098.73x = 389,296.23 × 161,242.62
  4. Step 4: Simplify right side
    282,098.73x = 62,771,144,081.32
  5. Step 5: Solve for x
    x = 62,771,144,081.32/282,098.73
  6. Step 6: Final answer
    x = 222,514.81

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1.5x scale

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.