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Finding the Fourth Proportional to 188,584.50, 282,893.76 and 48,344.34

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Solution

The fourth proportional to 188,584.50, 282,893.76 and 48,344.34 is: 72,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,584.50 : 282,893.76 = 48,344.34 : x
  2. Step 2: Convert to fraction form
    188,584.50/282,893.76 = 48,344.34/x
  3. Step 3: Cross multiply
    188,584.50x = 282,893.76 × 48,344.34
  4. Step 4: Simplify right side
    188,584.50x = 13,676,312,117.32
  5. Step 5: Solve for x
    x = 13,676,312,117.32/188,584.50
  6. Step 6: Final answer
    x = 72,520.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.