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Finding the Fourth Proportional to 105,606, 158,211.24 and 52,953.84

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Solution

The fourth proportional to 105,606, 158,211.24 and 52,953.84 is: 79,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,606 : 158,211.24 = 52,953.84 : x
  2. Step 2: Convert to fraction form
    105,606/158,211.24 = 52,953.84/x
  3. Step 3: Cross multiply
    105,606x = 158,211.24 × 52,953.84
  4. Step 4: Simplify right side
    105,606x = 8,377,892,689.16
  5. Step 5: Solve for x
    x = 8,377,892,689.16/105,606
  6. Step 6: Final answer
    x = 79,331.60

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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.