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Finding the Fourth Proportional to 228,904.05, 343,285.86 and 158,280.48

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Solution

The fourth proportional to 228,904.05, 343,285.86 and 158,280.48 is: 237,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,904.05 : 343,285.86 = 158,280.48 : x
  2. Step 2: Convert to fraction form
    228,904.05/343,285.86 = 158,280.48/x
  3. Step 3: Cross multiply
    228,904.05x = 343,285.86 × 158,280.48
  4. Step 4: Simplify right side
    228,904.05x = 54,335,450,698.01
  5. Step 5: Solve for x
    x = 54,335,450,698.01/228,904.05
  6. Step 6: Final answer
    x = 237,372.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.