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Finding the Fourth Proportional to 225,802.32, 311,604.62 and 130,306.96

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Solution

The fourth proportional to 225,802.32, 311,604.62 and 130,306.96 is: 179,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,802.32 : 311,604.62 = 130,306.96 : x
  2. Step 2: Convert to fraction form
    225,802.32/311,604.62 = 130,306.96/x
  3. Step 3: Cross multiply
    225,802.32x = 311,604.62 × 130,306.96
  4. Step 4: Simplify right side
    225,802.32x = 40,604,250,754.16
  5. Step 5: Solve for x
    x = 40,604,250,754.16/225,802.32
  6. Step 6: Final answer
    x = 179,822.11

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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.