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Finding the Fourth Proportional to 106,137.72, 146,470.32 and 58,394.52

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Solution

The fourth proportional to 106,137.72, 146,470.32 and 58,394.52 is: 80,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,137.72 : 146,470.32 = 58,394.52 : x
  2. Step 2: Convert to fraction form
    106,137.72/146,470.32 = 58,394.52/x
  3. Step 3: Cross multiply
    106,137.72x = 146,470.32 × 58,394.52
  4. Step 4: Simplify right side
    106,137.72x = 8,553,064,030.65
  5. Step 5: Solve for x
    x = 8,553,064,030.65/106,137.72
  6. Step 6: Final answer
    x = 80,584.58

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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.