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Finding the Fourth Proportional to 169,694.32, 234,295.32 and 106,060.72

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Solution

The fourth proportional to 169,694.32, 234,295.32 and 106,060.72 is: 146,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,694.32 : 234,295.32 = 106,060.72 : x
  2. Step 2: Convert to fraction form
    169,694.32/234,295.32 = 106,060.72/x
  3. Step 3: Cross multiply
    169,694.32x = 234,295.32 × 106,060.72
  4. Step 4: Simplify right side
    169,694.32x = 24,849,530,331.83
  5. Step 5: Solve for x
    x = 24,849,530,331.83/169,694.32
  6. Step 6: Final answer
    x = 146,437.02

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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.