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Finding the Fourth Proportional to 219,367.96, 302,833.02 and 138,834.52

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Solution

The fourth proportional to 219,367.96, 302,833.02 and 138,834.52 is: 191,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,367.96 : 302,833.02 = 138,834.52 : x
  2. Step 2: Convert to fraction form
    219,367.96/302,833.02 = 138,834.52/x
  3. Step 3: Cross multiply
    219,367.96x = 302,833.02 × 138,834.52
  4. Step 4: Simplify right side
    219,367.96x = 42,043,676,971.85
  5. Step 5: Solve for x
    x = 42,043,676,971.85/219,367.96
  6. Step 6: Final answer
    x = 191,658.24

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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.