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Finding the Fourth Proportional to 225,588.32, 311,311.86 and 134,948.10

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Solution

The fourth proportional to 225,588.32, 311,311.86 and 134,948.10 is: 186,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,588.32 : 311,311.86 = 134,948.10 : x
  2. Step 2: Convert to fraction form
    225,588.32/311,311.86 = 134,948.10/x
  3. Step 3: Cross multiply
    225,588.32x = 311,311.86 × 134,948.10
  4. Step 4: Simplify right side
    225,588.32x = 42,010,944,014.47
  5. Step 5: Solve for x
    x = 42,010,944,014.47/225,588.32
  6. Step 6: Final answer
    x = 186,228.37

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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.