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Finding the Fourth Proportional to 222,984.64, 307,777.80 and 138,053.44

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Solution

The fourth proportional to 222,984.64, 307,777.80 and 138,053.44 is: 190,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,984.64 : 307,777.80 = 138,053.44 : x
  2. Step 2: Convert to fraction form
    222,984.64/307,777.80 = 138,053.44/x
  3. Step 3: Cross multiply
    222,984.64x = 307,777.80 × 138,053.44
  4. Step 4: Simplify right side
    222,984.64x = 42,489,784,045.63
  5. Step 5: Solve for x
    x = 42,489,784,045.63/222,984.64
  6. Step 6: Final answer
    x = 190,550.27

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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.