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Finding the Fourth Proportional to 226,903.64, 313,156.38 and 130,145.24

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Solution

The fourth proportional to 226,903.64, 313,156.38 and 130,145.24 is: 179,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,903.64 : 313,156.38 = 130,145.24 : x
  2. Step 2: Convert to fraction form
    226,903.64/313,156.38 = 130,145.24/x
  3. Step 3: Cross multiply
    226,903.64x = 313,156.38 × 130,145.24
  4. Step 4: Simplify right side
    226,903.64x = 40,755,812,232.63
  5. Step 5: Solve for x
    x = 40,755,812,232.63/226,903.64
  6. Step 6: Final answer
    x = 179,617.27

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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.