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Finding the Fourth Proportional to 106,107.76, 146,379.48 and 63,592.48

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Solution

The fourth proportional to 106,107.76, 146,379.48 and 63,592.48 is: 87,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,107.76 : 146,379.48 = 63,592.48 : x
  2. Step 2: Convert to fraction form
    106,107.76/146,379.48 = 63,592.48/x
  3. Step 3: Cross multiply
    106,107.76x = 146,379.48 × 63,592.48
  4. Step 4: Simplify right side
    106,107.76x = 9,308,634,154.31
  5. Step 5: Solve for x
    x = 9,308,634,154.31/106,107.76
  6. Step 6: Final answer
    x = 87,728.12

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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.