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Finding the Fourth Proportional to 164,102.68, 246,132.15 and 45,764.11

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Solution

The fourth proportional to 164,102.68, 246,132.15 and 45,764.11 is: 68,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,102.68 : 246,132.15 = 45,764.11 : x
  2. Step 2: Convert to fraction form
    164,102.68/246,132.15 = 45,764.11/x
  3. Step 3: Cross multiply
    164,102.68x = 246,132.15 × 45,764.11
  4. Step 4: Simplify right side
    164,102.68x = 11,264,019,402.47
  5. Step 5: Solve for x
    x = 11,264,019,402.47/164,102.68
  6. Step 6: Final answer
    x = 68,640.07

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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.