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Finding the Fourth Proportional to 101,214.72, 151,812.96 and 45,057.44

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Solution

The fourth proportional to 101,214.72, 151,812.96 and 45,057.44 is: 67,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214.72 : 151,812.96 = 45,057.44 : x
  2. Step 2: Convert to fraction form
    101,214.72/151,812.96 = 45,057.44/x
  3. Step 3: Cross multiply
    101,214.72x = 151,812.96 × 45,057.44
  4. Step 4: Simplify right side
    101,214.72x = 6,840,303,336.42
  5. Step 5: Solve for x
    x = 6,840,303,336.42/101,214.72
  6. Step 6: Final answer
    x = 67,582.10

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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.