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Finding the Fourth Proportional to 160,893.83, 222,074.30 and 109,927.16

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Solution

The fourth proportional to 160,893.83, 222,074.30 and 109,927.16 is: 151,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,893.83 : 222,074.30 = 109,927.16 : x
  2. Step 2: Convert to fraction form
    160,893.83/222,074.30 = 109,927.16/x
  3. Step 3: Cross multiply
    160,893.83x = 222,074.30 × 109,927.16
  4. Step 4: Simplify right side
    160,893.83x = 24,411,997,964.80
  5. Step 5: Solve for x
    x = 24,411,997,964.80/160,893.83
  6. Step 6: Final answer
    x = 151,727.37

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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.