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Finding the Fourth Proportional to 289,915.22, 400,086.36 and 160,856.12

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Solution

The fourth proportional to 289,915.22, 400,086.36 and 160,856.12 is: 221,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,915.22 : 400,086.36 = 160,856.12 : x
  2. Step 2: Convert to fraction form
    289,915.22/400,086.36 = 160,856.12/x
  3. Step 3: Cross multiply
    289,915.22x = 400,086.36 × 160,856.12
  4. Step 4: Simplify right side
    289,915.22x = 64,356,339,534.52
  5. Step 5: Solve for x
    x = 64,356,339,534.52/289,915.22
  6. Step 6: Final answer
    x = 221,983.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.