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Finding the Fourth Proportional to 229,219.02, 316,317.24 and 127,238.52

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Solution

The fourth proportional to 229,219.02, 316,317.24 and 127,238.52 is: 175,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,219.02 : 316,317.24 = 127,238.52 : x
  2. Step 2: Convert to fraction form
    229,219.02/316,317.24 = 127,238.52/x
  3. Step 3: Cross multiply
    229,219.02x = 316,317.24 × 127,238.52
  4. Step 4: Simplify right side
    229,219.02x = 40,247,737,468.08
  5. Step 5: Solve for x
    x = 40,247,737,468.08/229,219.02
  6. Step 6: Final answer
    x = 175,586.38

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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.