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Finding the Fourth Proportional to 109,466.16, 164,206.17 and 46,274.50

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Solution

The fourth proportional to 109,466.16, 164,206.17 and 46,274.50 is: 69,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466.16 : 164,206.17 = 46,274.50 : x
  2. Step 2: Convert to fraction form
    109,466.16/164,206.17 = 46,274.50/x
  3. Step 3: Cross multiply
    109,466.16x = 164,206.17 × 46,274.50
  4. Step 4: Simplify right side
    109,466.16x = 7,598,558,297.98
  5. Step 5: Solve for x
    x = 7,598,558,297.98/109,466.16
  6. Step 6: Final answer
    x = 69,414.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.