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Finding the Fourth Proportional to 219,167.28, 328,795.20 and 92,807.28

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Solution

The fourth proportional to 219,167.28, 328,795.20 and 92,807.28 is: 139,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,167.28 : 328,795.20 = 92,807.28 : x
  2. Step 2: Convert to fraction form
    219,167.28/328,795.20 = 92,807.28/x
  3. Step 3: Cross multiply
    219,167.28x = 328,795.20 × 92,807.28
  4. Step 4: Simplify right side
    219,167.28x = 30,514,588,189.06
  5. Step 5: Solve for x
    x = 30,514,588,189.06/219,167.28
  6. Step 6: Final answer
    x = 139,229.67

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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.