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Finding the Fourth Proportional to 114,284.50, 171,393.65 and 34,319.24

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Solution

The fourth proportional to 114,284.50, 171,393.65 and 34,319.24 is: 51,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,284.50 : 171,393.65 = 34,319.24 : x
  2. Step 2: Convert to fraction form
    114,284.50/171,393.65 = 34,319.24/x
  3. Step 3: Cross multiply
    114,284.50x = 171,393.65 × 34,319.24
  4. Step 4: Simplify right side
    114,284.50x = 5,882,099,808.83
  5. Step 5: Solve for x
    x = 5,882,099,808.83/114,284.50
  6. Step 6: Final answer
    x = 51,468.92

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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.