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Finding the Fourth Proportional to 282,136.29, 422,712.30 and 235,053.81

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Solution

The fourth proportional to 282,136.29, 422,712.30 and 235,053.81 is: 352,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,136.29 : 422,712.30 = 235,053.81 : x
  2. Step 2: Convert to fraction form
    282,136.29/422,712.30 = 235,053.81/x
  3. Step 3: Cross multiply
    282,136.29x = 422,712.30 × 235,053.81
  4. Step 4: Simplify right side
    282,136.29x = 99,360,136,648.86
  5. Step 5: Solve for x
    x = 99,360,136,648.86/282,136.29
  6. Step 6: Final answer
    x = 352,170.71

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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.