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Finding the Fourth Proportional to 219,414, 329,122.08 and 53,202

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Solution

The fourth proportional to 219,414, 329,122.08 and 53,202 is: 79,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,414 : 329,122.08 = 53,202 : x
  2. Step 2: Convert to fraction form
    219,414/329,122.08 = 53,202/x
  3. Step 3: Cross multiply
    219,414x = 329,122.08 × 53,202
  4. Step 4: Simplify right side
    219,414x = 17,509,952,900.16
  5. Step 5: Solve for x
    x = 17,509,952,900.16/219,414
  6. Step 6: Final answer
    x = 79,803.26

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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.