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Finding the Fourth Proportional to 185,968.84, 278,937.42 and 73,618.50

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Solution

The fourth proportional to 185,968.84, 278,937.42 and 73,618.50 is: 110,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,968.84 : 278,937.42 = 73,618.50 : x
  2. Step 2: Convert to fraction form
    185,968.84/278,937.42 = 73,618.50/x
  3. Step 3: Cross multiply
    185,968.84x = 278,937.42 × 73,618.50
  4. Step 4: Simplify right side
    185,968.84x = 20,534,954,454.27
  5. Step 5: Solve for x
    x = 20,534,954,454.27/185,968.84
  6. Step 6: Final answer
    x = 110,421.48

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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.