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Finding the Fourth Proportional to 213,184.52, 319,721.10 and 63,384.48

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Solution

The fourth proportional to 213,184.52, 319,721.10 and 63,384.48 is: 95,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,184.52 : 319,721.10 = 63,384.48 : x
  2. Step 2: Convert to fraction form
    213,184.52/319,721.10 = 63,384.48/x
  3. Step 3: Cross multiply
    213,184.52x = 319,721.10 × 63,384.48
  4. Step 4: Simplify right side
    213,184.52x = 20,265,355,668.53
  5. Step 5: Solve for x
    x = 20,265,355,668.53/213,184.52
  6. Step 6: Final answer
    x = 95,060.17

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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.