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Finding the Fourth Proportional to 222,704.76, 307,345.14 and 132,114.36

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Solution

The fourth proportional to 222,704.76, 307,345.14 and 132,114.36 is: 182,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,704.76 : 307,345.14 = 132,114.36 : x
  2. Step 2: Convert to fraction form
    222,704.76/307,345.14 = 132,114.36/x
  3. Step 3: Cross multiply
    222,704.76x = 307,345.14 × 132,114.36
  4. Step 4: Simplify right side
    222,704.76x = 40,604,706,470.21
  5. Step 5: Solve for x
    x = 40,604,706,470.21/222,704.76
  6. Step 6: Final answer
    x = 182,325.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.