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Finding the Fourth Proportional to 222,957.64, 307,661.25 and 132,298

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Solution

The fourth proportional to 222,957.64, 307,661.25 and 132,298 is: 182,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,957.64 : 307,661.25 = 132,298 : x
  2. Step 2: Convert to fraction form
    222,957.64/307,661.25 = 132,298/x
  3. Step 3: Cross multiply
    222,957.64x = 307,661.25 × 132,298
  4. Step 4: Simplify right side
    222,957.64x = 40,702,968,052.50
  5. Step 5: Solve for x
    x = 40,702,968,052.50/222,957.64
  6. Step 6: Final answer
    x = 182,559.20

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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.