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Finding the Fourth Proportional to 225,957.49, 312,233.90 and 164,596.85

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Solution

The fourth proportional to 225,957.49, 312,233.90 and 164,596.85 is: 227,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,957.49 : 312,233.90 = 164,596.85 : x
  2. Step 2: Convert to fraction form
    225,957.49/312,233.90 = 164,596.85/x
  3. Step 3: Cross multiply
    225,957.49x = 312,233.90 × 164,596.85
  4. Step 4: Simplify right side
    225,957.49x = 51,392,716,403.22
  5. Step 5: Solve for x
    x = 51,392,716,403.22/225,957.49
  6. Step 6: Final answer
    x = 227,444.18

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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.