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Finding the Fourth Proportional to 117,370.76, 176,048.46 and 34,257.80

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Solution

The fourth proportional to 117,370.76, 176,048.46 and 34,257.80 is: 51,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,370.76 : 176,048.46 = 34,257.80 : x
  2. Step 2: Convert to fraction form
    117,370.76/176,048.46 = 34,257.80/x
  3. Step 3: Cross multiply
    117,370.76x = 176,048.46 × 34,257.80
  4. Step 4: Simplify right side
    117,370.76x = 6,031,032,932.99
  5. Step 5: Solve for x
    x = 6,031,032,932.99/117,370.76
  6. Step 6: Final answer
    x = 51,384.46

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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.