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Finding the Fourth Proportional to 148,083.29, 204,142.38 and 105,568.01

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Solution

The fourth proportional to 148,083.29, 204,142.38 and 105,568.01 is: 145,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,083.29 : 204,142.38 = 105,568.01 : x
  2. Step 2: Convert to fraction form
    148,083.29/204,142.38 = 105,568.01/x
  3. Step 3: Cross multiply
    148,083.29x = 204,142.38 × 105,568.01
  4. Step 4: Simplify right side
    148,083.29x = 21,550,904,285.42
  5. Step 5: Solve for x
    x = 21,550,904,285.42/148,083.29
  6. Step 6: Final answer
    x = 145,532.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.