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Finding the Fourth Proportional to 185,866.94, 278,940.62 and 86,097.14

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Solution

The fourth proportional to 185,866.94, 278,940.62 and 86,097.14 is: 129,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,866.94 : 278,940.62 = 86,097.14 : x
  2. Step 2: Convert to fraction form
    185,866.94/278,940.62 = 86,097.14/x
  3. Step 3: Cross multiply
    185,866.94x = 278,940.62 × 86,097.14
  4. Step 4: Simplify right side
    185,866.94x = 24,015,989,611.83
  5. Step 5: Solve for x
    x = 24,015,989,611.83/185,866.94
  6. Step 6: Final answer
    x = 129,210.66

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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.