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Finding the Fourth Proportional to 226,362.92, 311,985.42 and 165,804.90

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Solution

The fourth proportional to 226,362.92, 311,985.42 and 165,804.90 is: 228,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,362.92 : 311,985.42 = 165,804.90 : x
  2. Step 2: Convert to fraction form
    226,362.92/311,985.42 = 165,804.90/x
  3. Step 3: Cross multiply
    226,362.92x = 311,985.42 × 165,804.90
  4. Step 4: Simplify right side
    226,362.92x = 51,728,711,364.56
  5. Step 5: Solve for x
    x = 51,728,711,364.56/226,362.92
  6. Step 6: Final answer
    x = 228,521.13

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1.5x scale

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.