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Finding the Fourth Proportional to 219,380.16, 329,070.24 and 53,168.16

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Solution

The fourth proportional to 219,380.16, 329,070.24 and 53,168.16 is: 79,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,380.16 : 329,070.24 = 53,168.16 : x
  2. Step 2: Convert to fraction form
    219,380.16/329,070.24 = 53,168.16/x
  3. Step 3: Cross multiply
    219,380.16x = 329,070.24 × 53,168.16
  4. Step 4: Simplify right side
    219,380.16x = 17,496,059,171.56
  5. Step 5: Solve for x
    x = 17,496,059,171.56/219,380.16
  6. Step 6: Final answer
    x = 79,752.24

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1.5x scale

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.