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Finding the Fourth Proportional to 289,959.92, 400,146.83 and 160,898.90

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Solution

The fourth proportional to 289,959.92, 400,146.83 and 160,898.90 is: 222,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,959.92 : 400,146.83 = 160,898.90 : x
  2. Step 2: Convert to fraction form
    289,959.92/400,146.83 = 160,898.90/x
  3. Step 3: Cross multiply
    289,959.92x = 400,146.83 × 160,898.90
  4. Step 4: Simplify right side
    289,959.92x = 64,383,181,980.26
  5. Step 5: Solve for x
    x = 64,383,181,980.26/289,959.92
  6. Step 6: Final answer
    x = 222,041.66

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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.