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Finding the Fourth Proportional to 224,565.33, 309,952.26 and 148,098.23

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Solution

The fourth proportional to 224,565.33, 309,952.26 and 148,098.23 is: 204,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,565.33 : 309,952.26 = 148,098.23 : x
  2. Step 2: Convert to fraction form
    224,565.33/309,952.26 = 148,098.23/x
  3. Step 3: Cross multiply
    224,565.33x = 309,952.26 × 148,098.23
  4. Step 4: Simplify right side
    224,565.33x = 45,903,378,800.25
  5. Step 5: Solve for x
    x = 45,903,378,800.25/224,565.33
  6. Step 6: Final answer
    x = 204,409.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.