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Finding the Fourth Proportional to 181,778.94, 250,899.14 and 105,285.70

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Solution

The fourth proportional to 181,778.94, 250,899.14 and 105,285.70 is: 145,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,778.94 : 250,899.14 = 105,285.70 : x
  2. Step 2: Convert to fraction form
    181,778.94/250,899.14 = 105,285.70/x
  3. Step 3: Cross multiply
    181,778.94x = 250,899.14 × 105,285.70
  4. Step 4: Simplify right side
    181,778.94x = 26,416,091,584.30
  5. Step 5: Solve for x
    x = 26,416,091,584.30/181,778.94
  6. Step 6: Final answer
    x = 145,319.87

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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.