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Finding the Fourth Proportional to 106,051.87, 146,351.96 and 58,308.24

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Solution

The fourth proportional to 106,051.87, 146,351.96 and 58,308.24 is: 80,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.87 : 146,351.96 = 58,308.24 : x
  2. Step 2: Convert to fraction form
    106,051.87/146,351.96 = 58,308.24/x
  3. Step 3: Cross multiply
    106,051.87x = 146,351.96 × 58,308.24
  4. Step 4: Simplify right side
    106,051.87x = 8,533,525,208.15
  5. Step 5: Solve for x
    x = 8,533,525,208.15/106,051.87
  6. Step 6: Final answer
    x = 80,465.58

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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.