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Finding the Fourth Proportional to 106,051.57, 146,352.15 and 58,305.25

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Solution

The fourth proportional to 106,051.57, 146,352.15 and 58,305.25 is: 80,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.57 : 146,352.15 = 58,305.25 : x
  2. Step 2: Convert to fraction form
    106,051.57/146,352.15 = 58,305.25/x
  3. Step 3: Cross multiply
    106,051.57x = 146,352.15 × 58,305.25
  4. Step 4: Simplify right side
    106,051.57x = 8,533,098,402.26
  5. Step 5: Solve for x
    x = 8,533,098,402.26/106,051.57
  6. Step 6: Final answer
    x = 80,461.79

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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.