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Finding the Fourth Proportional to 145,402.32, 200,639.90 and 80,861.10

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Solution

The fourth proportional to 145,402.32, 200,639.90 and 80,861.10 is: 111,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,402.32 : 200,639.90 = 80,861.10 : x
  2. Step 2: Convert to fraction form
    145,402.32/200,639.90 = 80,861.10/x
  3. Step 3: Cross multiply
    145,402.32x = 200,639.90 × 80,861.10
  4. Step 4: Simplify right side
    145,402.32x = 16,223,963,017.89
  5. Step 5: Solve for x
    x = 16,223,963,017.89/145,402.32
  6. Step 6: Final answer
    x = 111,579.81

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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.