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Finding the Fourth Proportional to 185,774.76, 278,662.14 and 74,889

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Solution

The fourth proportional to 185,774.76, 278,662.14 and 74,889 is: 112,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,774.76 : 278,662.14 = 74,889 : x
  2. Step 2: Convert to fraction form
    185,774.76/278,662.14 = 74,889/x
  3. Step 3: Cross multiply
    185,774.76x = 278,662.14 × 74,889
  4. Step 4: Simplify right side
    185,774.76x = 20,868,729,002.46
  5. Step 5: Solve for x
    x = 20,868,729,002.46/185,774.76
  6. Step 6: Final answer
    x = 112,333.50

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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.