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Finding the Fourth Proportional to 175,714.86, 242,305.26 and 150,305.34

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Solution

The fourth proportional to 175,714.86, 242,305.26 and 150,305.34 is: 207,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,714.86 : 242,305.26 = 150,305.34 : x
  2. Step 2: Convert to fraction form
    175,714.86/242,305.26 = 150,305.34/x
  3. Step 3: Cross multiply
    175,714.86x = 242,305.26 × 150,305.34
  4. Step 4: Simplify right side
    175,714.86x = 36,419,774,488.09
  5. Step 5: Solve for x
    x = 36,419,774,488.09/175,714.86
  6. Step 6: Final answer
    x = 207,266.33

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