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Finding the Fourth Proportional to 114,205.14, 171,058.26 and 47,442.86

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Solution

The fourth proportional to 114,205.14, 171,058.26 and 47,442.86 is: 71,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,205.14 : 171,058.26 = 47,442.86 : x
  2. Step 2: Convert to fraction form
    114,205.14/171,058.26 = 47,442.86/x
  3. Step 3: Cross multiply
    114,205.14x = 171,058.26 × 47,442.86
  4. Step 4: Simplify right side
    114,205.14x = 8,115,493,607.02
  5. Step 5: Solve for x
    x = 8,115,493,607.02/114,205.14
  6. Step 6: Final answer
    x = 71,060.67

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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.