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Finding the Fourth Proportional to 164,407.95, 246,619.11 and 52,096.45

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Solution

The fourth proportional to 164,407.95, 246,619.11 and 52,096.45 is: 78,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407.95 : 246,619.11 = 52,096.45 : x
  2. Step 2: Convert to fraction form
    164,407.95/246,619.11 = 52,096.45/x
  3. Step 3: Cross multiply
    164,407.95x = 246,619.11 × 52,096.45
  4. Step 4: Simplify right side
    164,407.95x = 12,847,979,516.61
  5. Step 5: Solve for x
    x = 12,847,979,516.61/164,407.95
  6. Step 6: Final answer
    x = 78,146.95

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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.