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Finding the Fourth Proportional to 299,109.72, 412,776.32 and 163,143.66

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Solution

The fourth proportional to 299,109.72, 412,776.32 and 163,143.66 is: 225,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,109.72 : 412,776.32 = 163,143.66 : x
  2. Step 2: Convert to fraction form
    299,109.72/412,776.32 = 163,143.66/x
  3. Step 3: Cross multiply
    299,109.72x = 412,776.32 × 163,143.66
  4. Step 4: Simplify right side
    299,109.72x = 67,341,838,790.41
  5. Step 5: Solve for x
    x = 67,341,838,790.41/299,109.72
  6. Step 6: Final answer
    x = 225,140.92

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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.