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Finding the Fourth Proportional to 219,033.66, 302,270.76 and 123,521.70

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Solution

The fourth proportional to 219,033.66, 302,270.76 and 123,521.70 is: 170,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,033.66 : 302,270.76 = 123,521.70 : x
  2. Step 2: Convert to fraction form
    219,033.66/302,270.76 = 123,521.70/x
  3. Step 3: Cross multiply
    219,033.66x = 302,270.76 × 123,521.70
  4. Step 4: Simplify right side
    219,033.66x = 37,336,998,135.49
  5. Step 5: Solve for x
    x = 37,336,998,135.49/219,033.66
  6. Step 6: Final answer
    x = 170,462.38

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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.