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Finding the Fourth Proportional to 188,002.63, 282,000.30 and 45,848.44

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Solution

The fourth proportional to 188,002.63, 282,000.30 and 45,848.44 is: 68,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,002.63 : 282,000.30 = 45,848.44 : x
  2. Step 2: Convert to fraction form
    188,002.63/282,000.30 = 45,848.44/x
  3. Step 3: Cross multiply
    188,002.63x = 282,000.30 × 45,848.44
  4. Step 4: Simplify right side
    188,002.63x = 12,929,273,834.53
  5. Step 5: Solve for x
    x = 12,929,273,834.53/188,002.63
  6. Step 6: Final answer
    x = 68,771.77

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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.