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Finding the Fourth Proportional to 289,976, 400,166.06 and 160,933.96

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Solution

The fourth proportional to 289,976, 400,166.06 and 160,933.96 is: 222,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,976 : 400,166.06 = 160,933.96 : x
  2. Step 2: Convert to fraction form
    289,976/400,166.06 = 160,933.96/x
  3. Step 3: Cross multiply
    289,976x = 400,166.06 × 160,933.96
  4. Step 4: Simplify right side
    289,976x = 64,400,308,693.40
  5. Step 5: Solve for x
    x = 64,400,308,693.40/289,976
  6. Step 6: Final answer
    x = 222,088.41

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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.