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Finding the Fourth Proportional to 105,034.80, 157,552.20 and 81,415.20

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Solution

The fourth proportional to 105,034.80, 157,552.20 and 81,415.20 is: 122,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,034.80 : 157,552.20 = 81,415.20 : x
  2. Step 2: Convert to fraction form
    105,034.80/157,552.20 = 81,415.20/x
  3. Step 3: Cross multiply
    105,034.80x = 157,552.20 × 81,415.20
  4. Step 4: Simplify right side
    105,034.80x = 12,827,143,873.44
  5. Step 5: Solve for x
    x = 12,827,143,873.44/105,034.80
  6. Step 6: Final answer
    x = 122,122.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.