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Finding the Fourth Proportional to 105,941, 158,911.50 and 39,397.88

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Solution

The fourth proportional to 105,941, 158,911.50 and 39,397.88 is: 59,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,941 : 158,911.50 = 39,397.88 : x
  2. Step 2: Convert to fraction form
    105,941/158,911.50 = 39,397.88/x
  3. Step 3: Cross multiply
    105,941x = 158,911.50 × 39,397.88
  4. Step 4: Simplify right side
    105,941x = 6,260,776,207.62
  5. Step 5: Solve for x
    x = 6,260,776,207.62/105,941
  6. Step 6: Final answer
    x = 59,096.82

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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.