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Finding the Fourth Proportional to 106,157.58, 146,494.44 and 58,410.96

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Solution

The fourth proportional to 106,157.58, 146,494.44 and 58,410.96 is: 80,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,157.58 : 146,494.44 = 58,410.96 : x
  2. Step 2: Convert to fraction form
    106,157.58/146,494.44 = 58,410.96/x
  3. Step 3: Cross multiply
    106,157.58x = 146,494.44 × 58,410.96
  4. Step 4: Simplify right side
    106,157.58x = 8,556,880,875.06
  5. Step 5: Solve for x
    x = 8,556,880,875.06/106,157.58
  6. Step 6: Final answer
    x = 80,605.46

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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.