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Finding the Fourth Proportional to 104,715.78, 156,980.70 and 38,143.50

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Solution

The fourth proportional to 104,715.78, 156,980.70 and 38,143.50 is: 57,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,715.78 : 156,980.70 = 38,143.50 : x
  2. Step 2: Convert to fraction form
    104,715.78/156,980.70 = 38,143.50/x
  3. Step 3: Cross multiply
    104,715.78x = 156,980.70 × 38,143.50
  4. Step 4: Simplify right side
    104,715.78x = 5,987,793,330.45
  5. Step 5: Solve for x
    x = 5,987,793,330.45/104,715.78
  6. Step 6: Final answer
    x = 57,181.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.