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Finding the Fourth Proportional to 145,213.64, 200,392.29 and 80,683.47

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Solution

The fourth proportional to 145,213.64, 200,392.29 and 80,683.47 is: 111,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,213.64 : 200,392.29 = 80,683.47 : x
  2. Step 2: Convert to fraction form
    145,213.64/200,392.29 = 80,683.47/x
  3. Step 3: Cross multiply
    145,213.64x = 200,392.29 × 80,683.47
  4. Step 4: Simplify right side
    145,213.64x = 16,168,345,318.45
  5. Step 5: Solve for x
    x = 16,168,345,318.45/145,213.64
  6. Step 6: Final answer
    x = 111,341.78

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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.