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Finding the Fourth Proportional to 125,816.16, 188,755.92 and 46,932.96

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Solution

The fourth proportional to 125,816.16, 188,755.92 and 46,932.96 is: 70,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,816.16 : 188,755.92 = 46,932.96 : x
  2. Step 2: Convert to fraction form
    125,816.16/188,755.92 = 46,932.96/x
  3. Step 3: Cross multiply
    125,816.16x = 188,755.92 × 46,932.96
  4. Step 4: Simplify right side
    125,816.16x = 8,858,874,043.12
  5. Step 5: Solve for x
    x = 8,858,874,043.12/125,816.16
  6. Step 6: Final answer
    x = 70,411.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.