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Finding the Fourth Proportional to 225,957.57, 311,849.10 and 130,464.11

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Solution

The fourth proportional to 225,957.57, 311,849.10 and 130,464.11 is: 180,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,957.57 : 311,849.10 = 130,464.11 : x
  2. Step 2: Convert to fraction form
    225,957.57/311,849.10 = 130,464.11/x
  3. Step 3: Cross multiply
    225,957.57x = 311,849.10 × 130,464.11
  4. Step 4: Simplify right side
    225,957.57x = 40,685,113,726.56
  5. Step 5: Solve for x
    x = 40,685,113,726.56/225,957.57
  6. Step 6: Final answer
    x = 180,056.43

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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.