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Finding the Fourth Proportional to 106,388.49, 146,817.12 and 58,643.56

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Solution

The fourth proportional to 106,388.49, 146,817.12 and 58,643.56 is: 80,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.49 : 146,817.12 = 58,643.56 : x
  2. Step 2: Convert to fraction form
    106,388.49/146,817.12 = 58,643.56/x
  3. Step 3: Cross multiply
    106,388.49x = 146,817.12 × 58,643.56
  4. Step 4: Simplify right side
    106,388.49x = 8,609,878,585.75
  5. Step 5: Solve for x
    x = 8,609,878,585.75/106,388.49
  6. Step 6: Final answer
    x = 80,928.67

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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.