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Finding the Fourth Proportional to 225,596.16, 311,355.36 and 130,083.84

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Solution

The fourth proportional to 225,596.16, 311,355.36 and 130,083.84 is: 179,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,596.16 : 311,355.36 = 130,083.84 : x
  2. Step 2: Convert to fraction form
    225,596.16/311,355.36 = 130,083.84/x
  3. Step 3: Cross multiply
    225,596.16x = 311,355.36 × 130,083.84
  4. Step 4: Simplify right side
    225,596.16x = 40,502,300,833.38
  5. Step 5: Solve for x
    x = 40,502,300,833.38/225,596.16
  6. Step 6: Final answer
    x = 179,534.53

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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.