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Finding the Fourth Proportional to 106,391.16, 146,754.84 and 63,341.88

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Solution

The fourth proportional to 106,391.16, 146,754.84 and 63,341.88 is: 87,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,391.16 : 146,754.84 = 63,341.88 : x
  2. Step 2: Convert to fraction form
    106,391.16/146,754.84 = 63,341.88/x
  3. Step 3: Cross multiply
    106,391.16x = 146,754.84 × 63,341.88
  4. Step 4: Simplify right side
    106,391.16x = 9,295,727,464.70
  5. Step 5: Solve for x
    x = 9,295,727,464.70/106,391.16
  6. Step 6: Final answer
    x = 87,373.12

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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.