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Finding the Fourth Proportional to 102,610.60, 153,915.90 and 47,314.60

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Solution

The fourth proportional to 102,610.60, 153,915.90 and 47,314.60 is: 70,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,610.60 : 153,915.90 = 47,314.60 : x
  2. Step 2: Convert to fraction form
    102,610.60/153,915.90 = 47,314.60/x
  3. Step 3: Cross multiply
    102,610.60x = 153,915.90 × 47,314.60
  4. Step 4: Simplify right side
    102,610.60x = 7,282,469,242.14
  5. Step 5: Solve for x
    x = 7,282,469,242.14/102,610.60
  6. Step 6: Final answer
    x = 70,971.90

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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.