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Finding the Fourth Proportional to 228,031.58, 342,121.14 and 109,687.46

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Solution

The fourth proportional to 228,031.58, 342,121.14 and 109,687.46 is: 164,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,031.58 : 342,121.14 = 109,687.46 : x
  2. Step 2: Convert to fraction form
    228,031.58/342,121.14 = 109,687.46/x
  3. Step 3: Cross multiply
    228,031.58x = 342,121.14 × 109,687.46
  4. Step 4: Simplify right side
    228,031.58x = 37,526,398,858.90
  5. Step 5: Solve for x
    x = 37,526,398,858.90/228,031.58
  6. Step 6: Final answer
    x = 164,566.67

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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.