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Finding the Fourth Proportional to 219,380.41, 329,070.62 and 53,168.41

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Solution

The fourth proportional to 219,380.41, 329,070.62 and 53,168.41 is: 79,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,380.41 : 329,070.62 = 53,168.41 : x
  2. Step 2: Convert to fraction form
    219,380.41/329,070.62 = 53,168.41/x
  3. Step 3: Cross multiply
    219,380.41x = 329,070.62 × 53,168.41
  4. Step 4: Simplify right side
    219,380.41x = 17,496,161,643.11
  5. Step 5: Solve for x
    x = 17,496,161,643.11/219,380.41
  6. Step 6: Final answer
    x = 79,752.62

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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.