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Finding the Fourth Proportional to 106,231.84, 146,599.14 and 58,486

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Solution

The fourth proportional to 106,231.84, 146,599.14 and 58,486 is: 80,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,231.84 : 146,599.14 = 58,486 : x
  2. Step 2: Convert to fraction form
    106,231.84/146,599.14 = 58,486/x
  3. Step 3: Cross multiply
    106,231.84x = 146,599.14 × 58,486
  4. Step 4: Simplify right side
    106,231.84x = 8,573,997,302.04
  5. Step 5: Solve for x
    x = 8,573,997,302.04/106,231.84
  6. Step 6: Final answer
    x = 80,710.24

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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.