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Finding the Fourth Proportional to 145,164.66, 200,322.07 and 81,505.14

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Solution

The fourth proportional to 145,164.66, 200,322.07 and 81,505.14 is: 112,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,164.66 : 200,322.07 = 81,505.14 : x
  2. Step 2: Convert to fraction form
    145,164.66/200,322.07 = 81,505.14/x
  3. Step 3: Cross multiply
    145,164.66x = 200,322.07 × 81,505.14
  4. Step 4: Simplify right side
    145,164.66x = 16,327,278,156.68
  5. Step 5: Solve for x
    x = 16,327,278,156.68/145,164.66
  6. Step 6: Final answer
    x = 112,474.19

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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.