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Finding the Fourth Proportional to 98,743.20, 148,136.40 and 32,186.40

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Solution

The fourth proportional to 98,743.20, 148,136.40 and 32,186.40 is: 48,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,743.20 : 148,136.40 = 32,186.40 : x
  2. Step 2: Convert to fraction form
    98,743.20/148,136.40 = 32,186.40/x
  3. Step 3: Cross multiply
    98,743.20x = 148,136.40 × 32,186.40
  4. Step 4: Simplify right side
    98,743.20x = 4,767,977,424.96
  5. Step 5: Solve for x
    x = 4,767,977,424.96/98,743.20
  6. Step 6: Final answer
    x = 48,286.64

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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.