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Finding the Fourth Proportional to 225,396.38, 311,002.52 and 128,598.14

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Solution

The fourth proportional to 225,396.38, 311,002.52 and 128,598.14 is: 177,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,396.38 : 311,002.52 = 128,598.14 : x
  2. Step 2: Convert to fraction form
    225,396.38/311,002.52 = 128,598.14/x
  3. Step 3: Cross multiply
    225,396.38x = 311,002.52 × 128,598.14
  4. Step 4: Simplify right side
    225,396.38x = 39,994,345,607.31
  5. Step 5: Solve for x
    x = 39,994,345,607.31/225,396.38
  6. Step 6: Final answer
    x = 177,440.05

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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.