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Finding the Fourth Proportional to 228,509.91, 315,338.67 and 133,014.56

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Solution

The fourth proportional to 228,509.91, 315,338.67 and 133,014.56 is: 183,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,509.91 : 315,338.67 = 133,014.56 : x
  2. Step 2: Convert to fraction form
    228,509.91/315,338.67 = 133,014.56/x
  3. Step 3: Cross multiply
    228,509.91x = 315,338.67 × 133,014.56
  4. Step 4: Simplify right side
    228,509.91x = 41,944,632,864.34
  5. Step 5: Solve for x
    x = 41,944,632,864.34/228,509.91
  6. Step 6: Final answer
    x = 183,557.17

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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.