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Finding the Fourth Proportional to 175,714.56, 242,490.24 and 100,270.08

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Solution

The fourth proportional to 175,714.56, 242,490.24 and 100,270.08 is: 138,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,714.56 : 242,490.24 = 100,270.08 : x
  2. Step 2: Convert to fraction form
    175,714.56/242,490.24 = 100,270.08/x
  3. Step 3: Cross multiply
    175,714.56x = 242,490.24 × 100,270.08
  4. Step 4: Simplify right side
    175,714.56x = 24,314,515,764.02
  5. Step 5: Solve for x
    x = 24,314,515,764.02/175,714.56
  6. Step 6: Final answer
    x = 138,375.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.