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Finding the Fourth Proportional to 229,102.88, 343,571.92 and 79,302.56

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Solution

The fourth proportional to 229,102.88, 343,571.92 and 79,302.56 is: 118,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,102.88 : 343,571.92 = 79,302.56 : x
  2. Step 2: Convert to fraction form
    229,102.88/343,571.92 = 79,302.56/x
  3. Step 3: Cross multiply
    229,102.88x = 343,571.92 × 79,302.56
  4. Step 4: Simplify right side
    229,102.88x = 27,246,132,800.12
  5. Step 5: Solve for x
    x = 27,246,132,800.12/229,102.88
  6. Step 6: Final answer
    x = 118,925.32

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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.