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Finding the Fourth Proportional to 186,951.54, 257,991.80 and 102,068.60

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Solution

The fourth proportional to 186,951.54, 257,991.80 and 102,068.60 is: 140,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,951.54 : 257,991.80 = 102,068.60 : x
  2. Step 2: Convert to fraction form
    186,951.54/257,991.80 = 102,068.60/x
  3. Step 3: Cross multiply
    186,951.54x = 257,991.80 × 102,068.60
  4. Step 4: Simplify right side
    186,951.54x = 26,332,860,037.18
  5. Step 5: Solve for x
    x = 26,332,860,037.18/186,951.54
  6. Step 6: Final answer
    x = 140,853.93

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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.