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Finding the Fourth Proportional to 105,882.94, 146,107.70 and 63,440.38

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Solution

The fourth proportional to 105,882.94, 146,107.70 and 63,440.38 is: 87,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,882.94 : 146,107.70 = 63,440.38 : x
  2. Step 2: Convert to fraction form
    105,882.94/146,107.70 = 63,440.38/x
  3. Step 3: Cross multiply
    105,882.94x = 146,107.70 × 63,440.38
  4. Step 4: Simplify right side
    105,882.94x = 9,269,128,008.93
  5. Step 5: Solve for x
    x = 9,269,128,008.93/105,882.94
  6. Step 6: Final answer
    x = 87,541.28

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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.