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Finding the Fourth Proportional to 98,023.84, 146,774.64 and 66,919.84

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Solution

The fourth proportional to 98,023.84, 146,774.64 and 66,919.84 is: 100,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,023.84 : 146,774.64 = 66,919.84 : x
  2. Step 2: Convert to fraction form
    98,023.84/146,774.64 = 66,919.84/x
  3. Step 3: Cross multiply
    98,023.84x = 146,774.64 × 66,919.84
  4. Step 4: Simplify right side
    98,023.84x = 9,822,135,424.86
  5. Step 5: Solve for x
    x = 9,822,135,424.86/98,023.84
  6. Step 6: Final answer
    x = 100,201.50

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1.5x scale

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.