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Finding the Fourth Proportional to 171,852.74, 257,695.77 and 100,798.60

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Solution

The fourth proportional to 171,852.74, 257,695.77 and 100,798.60 is: 151,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,852.74 : 257,695.77 = 100,798.60 : x
  2. Step 2: Convert to fraction form
    171,852.74/257,695.77 = 100,798.60/x
  3. Step 3: Cross multiply
    171,852.74x = 257,695.77 × 100,798.60
  4. Step 4: Simplify right side
    171,852.74x = 25,975,371,553.44
  5. Step 5: Solve for x
    x = 25,975,371,553.44/171,852.74
  6. Step 6: Final answer
    x = 151,149.01

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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.