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Finding the Fourth Proportional to 175,257, 241,854.66 and 95,769

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Solution

The fourth proportional to 175,257, 241,854.66 and 95,769 is: 132,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,257 : 241,854.66 = 95,769 : x
  2. Step 2: Convert to fraction form
    175,257/241,854.66 = 95,769/x
  3. Step 3: Cross multiply
    175,257x = 241,854.66 × 95,769
  4. Step 4: Simplify right side
    175,257x = 23,162,178,933.54
  5. Step 5: Solve for x
    x = 23,162,178,933.54/175,257
  6. Step 6: Final answer
    x = 132,161.22

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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.