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Finding the Fourth Proportional to 160,885.28, 222,025.28 and 89,262.64

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Solution

The fourth proportional to 160,885.28, 222,025.28 and 89,262.64 is: 123,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,885.28 : 222,025.28 = 89,262.64 : x
  2. Step 2: Convert to fraction form
    160,885.28/222,025.28 = 89,262.64/x
  3. Step 3: Cross multiply
    160,885.28x = 222,025.28 × 89,262.64
  4. Step 4: Simplify right side
    160,885.28x = 19,818,562,639.54
  5. Step 5: Solve for x
    x = 19,818,562,639.54/160,885.28
  6. Step 6: Final answer
    x = 123,184.44

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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.