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Finding the Fourth Proportional to 106,436.32, 146,888.79 and 58,689.64

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Solution

The fourth proportional to 106,436.32, 146,888.79 and 58,689.64 is: 80,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,436.32 : 146,888.79 = 58,689.64 : x
  2. Step 2: Convert to fraction form
    106,436.32/146,888.79 = 58,689.64/x
  3. Step 3: Cross multiply
    106,436.32x = 146,888.79 × 58,689.64
  4. Step 4: Simplify right side
    106,436.32x = 8,620,850,205.14
  5. Step 5: Solve for x
    x = 8,620,850,205.14/106,436.32
  6. Step 6: Final answer
    x = 80,995.38

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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.