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Finding the Fourth Proportional to 170,548.96, 255,714.06 and 70,778.02

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Solution

The fourth proportional to 170,548.96, 255,714.06 and 70,778.02 is: 106,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,548.96 : 255,714.06 = 70,778.02 : x
  2. Step 2: Convert to fraction form
    170,548.96/255,714.06 = 70,778.02/x
  3. Step 3: Cross multiply
    170,548.96x = 255,714.06 × 70,778.02
  4. Step 4: Simplify right side
    170,548.96x = 18,098,934,852.96
  5. Step 5: Solve for x
    x = 18,098,934,852.96/170,548.96
  6. Step 6: Final answer
    x = 106,121.64

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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.