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Finding the Fourth Proportional to 263,059.08, 362,935.49 and 160,978.12

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Solution

The fourth proportional to 263,059.08, 362,935.49 and 160,978.12 is: 222,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,059.08 : 362,935.49 = 160,978.12 : x
  2. Step 2: Convert to fraction form
    263,059.08/362,935.49 = 160,978.12/x
  3. Step 3: Cross multiply
    263,059.08x = 362,935.49 × 160,978.12
  4. Step 4: Simplify right side
    263,059.08x = 58,424,671,149.25
  5. Step 5: Solve for x
    x = 58,424,671,149.25/263,059.08
  6. Step 6: Final answer
    x = 222,097.15

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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.