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Finding the Fourth Proportional to 117,805.20, 176,706.98 and 47,683.50

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Solution

The fourth proportional to 117,805.20, 176,706.98 and 47,683.50 is: 71,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,805.20 : 176,706.98 = 47,683.50 : x
  2. Step 2: Convert to fraction form
    117,805.20/176,706.98 = 47,683.50/x
  3. Step 3: Cross multiply
    117,805.20x = 176,706.98 × 47,683.50
  4. Step 4: Simplify right side
    117,805.20x = 8,426,007,280.83
  5. Step 5: Solve for x
    x = 8,426,007,280.83/117,805.20
  6. Step 6: Final answer
    x = 71,524.92

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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.