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Finding the Fourth Proportional to 175,311.92, 262,941.96 and 64,478

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Solution

The fourth proportional to 175,311.92, 262,941.96 and 64,478 is: 96,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,311.92 : 262,941.96 = 64,478 : x
  2. Step 2: Convert to fraction form
    175,311.92/262,941.96 = 64,478/x
  3. Step 3: Cross multiply
    175,311.92x = 262,941.96 × 64,478
  4. Step 4: Simplify right side
    175,311.92x = 16,953,971,696.88
  5. Step 5: Solve for x
    x = 16,953,971,696.88/175,311.92
  6. Step 6: Final answer
    x = 96,707.47

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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.