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Finding the Fourth Proportional to 164,447.10, 246,688.11 and 52,143.30

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Solution

The fourth proportional to 164,447.10, 246,688.11 and 52,143.30 is: 78,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,447.10 : 246,688.11 = 52,143.30 : x
  2. Step 2: Convert to fraction form
    164,447.10/246,688.11 = 52,143.30/x
  3. Step 3: Cross multiply
    164,447.10x = 246,688.11 × 52,143.30
  4. Step 4: Simplify right side
    164,447.10x = 12,863,132,126.16
  5. Step 5: Solve for x
    x = 12,863,132,126.16/164,447.10
  6. Step 6: Final answer
    x = 78,220.49

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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.