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Finding the Fourth Proportional to 145,538.68, 200,843.04 and 81,876.46

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Solution

The fourth proportional to 145,538.68, 200,843.04 and 81,876.46 is: 112,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,538.68 : 200,843.04 = 81,876.46 : x
  2. Step 2: Convert to fraction form
    145,538.68/200,843.04 = 81,876.46/x
  3. Step 3: Cross multiply
    145,538.68x = 200,843.04 × 81,876.46
  4. Step 4: Simplify right side
    145,538.68x = 16,444,317,130.84
  5. Step 5: Solve for x
    x = 16,444,317,130.84/145,538.68
  6. Step 6: Final answer
    x = 112,989.32

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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.