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Finding the Fourth Proportional to 146,283.28, 201,869.16 and 85,843.12

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Solution

The fourth proportional to 146,283.28, 201,869.16 and 85,843.12 is: 118,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,283.28 : 201,869.16 = 85,843.12 : x
  2. Step 2: Convert to fraction form
    146,283.28/201,869.16 = 85,843.12/x
  3. Step 3: Cross multiply
    146,283.28x = 201,869.16 × 85,843.12
  4. Step 4: Simplify right side
    146,283.28x = 17,329,078,526.18
  5. Step 5: Solve for x
    x = 17,329,078,526.18/146,283.28
  6. Step 6: Final answer
    x = 118,462.47

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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.