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Finding the Fourth Proportional to 114,944.74, 158,696.62 and 78,706.82

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Solution

The fourth proportional to 114,944.74, 158,696.62 and 78,706.82 is: 108,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,944.74 : 158,696.62 = 78,706.82 : x
  2. Step 2: Convert to fraction form
    114,944.74/158,696.62 = 78,706.82/x
  3. Step 3: Cross multiply
    114,944.74x = 158,696.62 × 78,706.82
  4. Step 4: Simplify right side
    114,944.74x = 12,490,506,504.92
  5. Step 5: Solve for x
    x = 12,490,506,504.92/114,944.74
  6. Step 6: Final answer
    x = 108,665.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.