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Finding the Fourth Proportional to 98,104.74, 135,389 and 57,820.20

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Solution

The fourth proportional to 98,104.74, 135,389 and 57,820.20 is: 79,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,104.74 : 135,389 = 57,820.20 : x
  2. Step 2: Convert to fraction form
    98,104.74/135,389 = 57,820.20/x
  3. Step 3: Cross multiply
    98,104.74x = 135,389 × 57,820.20
  4. Step 4: Simplify right side
    98,104.74x = 7,828,219,057.80
  5. Step 5: Solve for x
    x = 7,828,219,057.80/98,104.74
  6. Step 6: Final answer
    x = 79,794.50

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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.