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Finding the Fourth Proportional to 114,096, 171,166.80 and 35,207.25

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Solution

The fourth proportional to 114,096, 171,166.80 and 35,207.25 is: 52,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,096 : 171,166.80 = 35,207.25 : x
  2. Step 2: Convert to fraction form
    114,096/171,166.80 = 35,207.25/x
  3. Step 3: Cross multiply
    114,096x = 171,166.80 × 35,207.25
  4. Step 4: Simplify right side
    114,096x = 6,026,312,319.30
  5. Step 5: Solve for x
    x = 6,026,312,319.30/114,096
  6. Step 6: Final answer
    x = 52,817.91

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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.