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Finding the Fourth Proportional to 299,813.12, 413,706.88 and 165,669.12

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Solution

The fourth proportional to 299,813.12, 413,706.88 and 165,669.12 is: 228,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,813.12 : 413,706.88 = 165,669.12 : x
  2. Step 2: Convert to fraction form
    299,813.12/413,706.88 = 165,669.12/x
  3. Step 3: Cross multiply
    299,813.12x = 413,706.88 × 165,669.12
  4. Step 4: Simplify right side
    299,813.12x = 68,538,454,747.55
  5. Step 5: Solve for x
    x = 68,538,454,747.55/299,813.12
  6. Step 6: Final answer
    x = 228,603.92

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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.