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Finding the Fourth Proportional to 160,967.87, 222,145.74 and 89,349.09

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Solution

The fourth proportional to 160,967.87, 222,145.74 and 89,349.09 is: 123,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,967.87 : 222,145.74 = 89,349.09 : x
  2. Step 2: Convert to fraction form
    160,967.87/222,145.74 = 89,349.09/x
  3. Step 3: Cross multiply
    160,967.87x = 222,145.74 × 89,349.09
  4. Step 4: Simplify right side
    160,967.87x = 19,848,518,883.33
  5. Step 5: Solve for x
    x = 19,848,518,883.33/160,967.87
  6. Step 6: Final answer
    x = 123,307.33

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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.