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Finding the Fourth Proportional to 229,127.88, 343,801.20 and 110,733.42

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Solution

The fourth proportional to 229,127.88, 343,801.20 and 110,733.42 is: 166,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,127.88 : 343,801.20 = 110,733.42 : x
  2. Step 2: Convert to fraction form
    229,127.88/343,801.20 = 110,733.42/x
  3. Step 3: Cross multiply
    229,127.88x = 343,801.20 × 110,733.42
  4. Step 4: Simplify right side
    229,127.88x = 38,070,282,676.10
  5. Step 5: Solve for x
    x = 38,070,282,676.10/229,127.88
  6. Step 6: Final answer
    x = 166,152.99

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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.