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Finding the Fourth Proportional to 174,295.72, 260,950.98 and 110,959

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Solution

The fourth proportional to 174,295.72, 260,950.98 and 110,959 is: 166,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,295.72 : 260,950.98 = 110,959 : x
  2. Step 2: Convert to fraction form
    174,295.72/260,950.98 = 110,959/x
  3. Step 3: Cross multiply
    174,295.72x = 260,950.98 × 110,959
  4. Step 4: Simplify right side
    174,295.72x = 28,954,859,789.82
  5. Step 5: Solve for x
    x = 28,954,859,789.82/174,295.72
  6. Step 6: Final answer
    x = 166,124.90

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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.