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Finding the Fourth Proportional to 145,708.60, 201,076.98 and 82,066.90

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Solution

The fourth proportional to 145,708.60, 201,076.98 and 82,066.90 is: 113,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,708.60 : 201,076.98 = 82,066.90 : x
  2. Step 2: Convert to fraction form
    145,708.60/201,076.98 = 82,066.90/x
  3. Step 3: Cross multiply
    145,708.60x = 201,076.98 × 82,066.90
  4. Step 4: Simplify right side
    145,708.60x = 16,501,764,409.96
  5. Step 5: Solve for x
    x = 16,501,764,409.96/145,708.60
  6. Step 6: Final answer
    x = 113,251.82

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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.