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Finding the Fourth Proportional to 145,921.74, 201,371.65 and 82,259.07

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Solution

The fourth proportional to 145,921.74, 201,371.65 and 82,259.07 is: 113,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,921.74 : 201,371.65 = 82,259.07 : x
  2. Step 2: Convert to fraction form
    145,921.74/201,371.65 = 82,259.07/x
  3. Step 3: Cross multiply
    145,921.74x = 201,371.65 × 82,259.07
  4. Step 4: Simplify right side
    145,921.74x = 16,564,644,653.37
  5. Step 5: Solve for x
    x = 16,564,644,653.37/145,921.74
  6. Step 6: Final answer
    x = 113,517.32

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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.