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Finding the Fourth Proportional to 105,696.50, 158,461.11 and 52,350.71

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Solution

The fourth proportional to 105,696.50, 158,461.11 and 52,350.71 is: 78,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.50 : 158,461.11 = 52,350.71 : x
  2. Step 2: Convert to fraction form
    105,696.50/158,461.11 = 52,350.71/x
  3. Step 3: Cross multiply
    105,696.50x = 158,461.11 × 52,350.71
  4. Step 4: Simplify right side
    105,696.50x = 8,295,550,823.58
  5. Step 5: Solve for x
    x = 8,295,550,823.58/105,696.50
  6. Step 6: Final answer
    x = 78,484.63

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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.