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Finding the Fourth Proportional to 145,098.90, 200,211.21 and 81,439.38

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Solution

The fourth proportional to 145,098.90, 200,211.21 and 81,439.38 is: 112,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098.90 : 200,211.21 = 81,439.38 : x
  2. Step 2: Convert to fraction form
    145,098.90/200,211.21 = 81,439.38/x
  3. Step 3: Cross multiply
    145,098.90x = 200,211.21 × 81,439.38
  4. Step 4: Simplify right side
    145,098.90x = 16,305,076,811.45
  5. Step 5: Solve for x
    x = 16,305,076,811.45/145,098.90
  6. Step 6: Final answer
    x = 112,372.16

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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.