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Finding the Fourth Proportional to 185,296.95, 278,388.29 and 118,866.83

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Solution

The fourth proportional to 185,296.95, 278,388.29 and 118,866.83 is: 178,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,296.95 : 278,388.29 = 118,866.83 : x
  2. Step 2: Convert to fraction form
    185,296.95/278,388.29 = 118,866.83/x
  3. Step 3: Cross multiply
    185,296.95x = 278,388.29 × 118,866.83
  4. Step 4: Simplify right side
    185,296.95x = 33,091,132,446.65
  5. Step 5: Solve for x
    x = 33,091,132,446.65/185,296.95
  6. Step 6: Final answer
    x = 178,584.33

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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.