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Finding the Fourth Proportional to 118,758, 178,214.76 and 44,886

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Solution

The fourth proportional to 118,758, 178,214.76 and 44,886 is: 67,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,758 : 178,214.76 = 44,886 : x
  2. Step 2: Convert to fraction form
    118,758/178,214.76 = 44,886/x
  3. Step 3: Cross multiply
    118,758x = 178,214.76 × 44,886
  4. Step 4: Simplify right side
    118,758x = 7,999,347,717.36
  5. Step 5: Solve for x
    x = 7,999,347,717.36/118,758
  6. Step 6: Final answer
    x = 67,358.39

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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.