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Finding the Fourth Proportional to 229,311.92, 316,557.24 and 152,958.08

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Solution

The fourth proportional to 229,311.92, 316,557.24 and 152,958.08 is: 211,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,311.92 : 316,557.24 = 152,958.08 : x
  2. Step 2: Convert to fraction form
    229,311.92/316,557.24 = 152,958.08/x
  3. Step 3: Cross multiply
    229,311.92x = 316,557.24 × 152,958.08
  4. Step 4: Simplify right side
    229,311.92x = 48,419,987,640.50
  5. Step 5: Solve for x
    x = 48,419,987,640.50/229,311.92
  6. Step 6: Final answer
    x = 211,153.38

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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.