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Finding the Fourth Proportional to 104,102.85, 156,130.91 and 47,888.97

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Solution

The fourth proportional to 104,102.85, 156,130.91 and 47,888.97 is: 71,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102.85 : 156,130.91 = 47,888.97 : x
  2. Step 2: Convert to fraction form
    104,102.85/156,130.91 = 47,888.97/x
  3. Step 3: Cross multiply
    104,102.85x = 156,130.91 × 47,888.97
  4. Step 4: Simplify right side
    104,102.85x = 7,476,948,225.62
  5. Step 5: Solve for x
    x = 7,476,948,225.62/104,102.85
  6. Step 6: Final answer
    x = 71,822.70

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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.