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Finding the Fourth Proportional to 117,338.98, 176,095.91 and 47,218.82

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Solution

The fourth proportional to 117,338.98, 176,095.91 and 47,218.82 is: 70,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,338.98 : 176,095.91 = 47,218.82 : x
  2. Step 2: Convert to fraction form
    117,338.98/176,095.91 = 47,218.82/x
  3. Step 3: Cross multiply
    117,338.98x = 176,095.91 × 47,218.82
  4. Step 4: Simplify right side
    117,338.98x = 8,315,041,077.03
  5. Step 5: Solve for x
    x = 8,315,041,077.03/117,338.98
  6. Step 6: Final answer
    x = 70,863.42

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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.