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Finding the Fourth Proportional to 106,196.92, 146,528.22 and 61,459

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Solution

The fourth proportional to 106,196.92, 146,528.22 and 61,459 is: 84,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,196.92 : 146,528.22 = 61,459 : x
  2. Step 2: Convert to fraction form
    106,196.92/146,528.22 = 61,459/x
  3. Step 3: Cross multiply
    106,196.92x = 146,528.22 × 61,459
  4. Step 4: Simplify right side
    106,196.92x = 9,005,477,872.98
  5. Step 5: Solve for x
    x = 9,005,477,872.98/106,196.92
  6. Step 6: Final answer
    x = 84,799.80

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