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Finding the Fourth Proportional to 114,342.30, 171,513.45 and 52,012.80

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Solution

The fourth proportional to 114,342.30, 171,513.45 and 52,012.80 is: 78,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,342.30 : 171,513.45 = 52,012.80 : x
  2. Step 2: Convert to fraction form
    114,342.30/171,513.45 = 52,012.80/x
  3. Step 3: Cross multiply
    114,342.30x = 171,513.45 × 52,012.80
  4. Step 4: Simplify right side
    114,342.30x = 8,920,894,772.16
  5. Step 5: Solve for x
    x = 8,920,894,772.16/114,342.30
  6. Step 6: Final answer
    x = 78,019.20

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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.