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Finding the Fourth Proportional to 218,714.88, 328,072.32 and 52,502.88

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Solution

The fourth proportional to 218,714.88, 328,072.32 and 52,502.88 is: 78,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.88 : 328,072.32 = 52,502.88 : x
  2. Step 2: Convert to fraction form
    218,714.88/328,072.32 = 52,502.88/x
  3. Step 3: Cross multiply
    218,714.88x = 328,072.32 × 52,502.88
  4. Step 4: Simplify right side
    218,714.88x = 17,224,741,648.28
  5. Step 5: Solve for x
    x = 17,224,741,648.28/218,714.88
  6. Step 6: Final answer
    x = 78,754.32

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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.