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Finding the Fourth Proportional to 114,269.12, 171,339.53 and 78,286.20

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Solution

The fourth proportional to 114,269.12, 171,339.53 and 78,286.20 is: 117,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,269.12 : 171,339.53 = 78,286.20 : x
  2. Step 2: Convert to fraction form
    114,269.12/171,339.53 = 78,286.20/x
  3. Step 3: Cross multiply
    114,269.12x = 171,339.53 × 78,286.20
  4. Step 4: Simplify right side
    114,269.12x = 13,413,520,322.06
  5. Step 5: Solve for x
    x = 13,413,520,322.06/114,269.12
  6. Step 6: Final answer
    x = 117,385.35

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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.