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Finding the Fourth Proportional to 117,462, 162,097.74 and 67,162.08

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Solution

The fourth proportional to 117,462, 162,097.74 and 67,162.08 is: 92,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,462 : 162,097.74 = 67,162.08 : x
  2. Step 2: Convert to fraction form
    117,462/162,097.74 = 67,162.08/x
  3. Step 3: Cross multiply
    117,462x = 162,097.74 × 67,162.08
  4. Step 4: Simplify right side
    117,462x = 10,886,821,381.70
  5. Step 5: Solve for x
    x = 10,886,821,381.70/117,462
  6. Step 6: Final answer
    x = 92,683.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.