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Finding the Fourth Proportional to 114,098, 171,169.80 and 35,209.26

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Solution

The fourth proportional to 114,098, 171,169.80 and 35,209.26 is: 52,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098 : 171,169.80 = 35,209.26 : x
  2. Step 2: Convert to fraction form
    114,098/171,169.80 = 35,209.26/x
  3. Step 3: Cross multiply
    114,098x = 171,169.80 × 35,209.26
  4. Step 4: Simplify right side
    114,098x = 6,026,761,992.35
  5. Step 5: Solve for x
    x = 6,026,761,992.35/114,098
  6. Step 6: Final answer
    x = 52,820.93

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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.