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Finding the Fourth Proportional to 188,688, 283,031.94 and 48,446.58

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Solution

The fourth proportional to 188,688, 283,031.94 and 48,446.58 is: 72,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,688 : 283,031.94 = 48,446.58 : x
  2. Step 2: Convert to fraction form
    188,688/283,031.94 = 48,446.58/x
  3. Step 3: Cross multiply
    188,688x = 283,031.94 × 48,446.58
  4. Step 4: Simplify right side
    188,688x = 13,711,929,523.77
  5. Step 5: Solve for x
    x = 13,711,929,523.77/188,688
  6. Step 6: Final answer
    x = 72,669.85

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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.