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Finding the Fourth Proportional to 145,165.41, 200,323.10 and 81,505.89

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Solution

The fourth proportional to 145,165.41, 200,323.10 and 81,505.89 is: 112,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,165.41 : 200,323.10 = 81,505.89 : x
  2. Step 2: Convert to fraction form
    145,165.41/200,323.10 = 81,505.89/x
  3. Step 3: Cross multiply
    145,165.41x = 200,323.10 × 81,505.89
  4. Step 4: Simplify right side
    145,165.41x = 16,327,512,756.82
  5. Step 5: Solve for x
    x = 16,327,512,756.82/145,165.41
  6. Step 6: Final answer
    x = 112,475.23

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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.