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Finding the Fourth Proportional to 98,380.20, 147,400.20 and 45,681.60

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Solution

The fourth proportional to 98,380.20, 147,400.20 and 45,681.60 is: 68,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,380.20 : 147,400.20 = 45,681.60 : x
  2. Step 2: Convert to fraction form
    98,380.20/147,400.20 = 45,681.60/x
  3. Step 3: Cross multiply
    98,380.20x = 147,400.20 × 45,681.60
  4. Step 4: Simplify right side
    98,380.20x = 6,733,476,976.32
  5. Step 5: Solve for x
    x = 6,733,476,976.32/98,380.20
  6. Step 6: Final answer
    x = 68,443.42

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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.