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Finding the Fourth Proportional to 117,819.63, 176,615.19 and 46,719

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Solution

The fourth proportional to 117,819.63, 176,615.19 and 46,719 is: 70,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,819.63 : 176,615.19 = 46,719 : x
  2. Step 2: Convert to fraction form
    117,819.63/176,615.19 = 46,719/x
  3. Step 3: Cross multiply
    117,819.63x = 176,615.19 × 46,719
  4. Step 4: Simplify right side
    117,819.63x = 8,251,285,061.61
  5. Step 5: Solve for x
    x = 8,251,285,061.61/117,819.63
  6. Step 6: Final answer
    x = 70,033.19

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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.