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Finding the Fourth Proportional to 106,137.14, 146,470.47 and 60,814.22

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Solution

The fourth proportional to 106,137.14, 146,470.47 and 60,814.22 is: 83,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,137.14 : 146,470.47 = 60,814.22 : x
  2. Step 2: Convert to fraction form
    106,137.14/146,470.47 = 60,814.22/x
  3. Step 3: Cross multiply
    106,137.14x = 146,470.47 × 60,814.22
  4. Step 4: Simplify right side
    106,137.14x = 8,907,487,386.08
  5. Step 5: Solve for x
    x = 8,907,487,386.08/106,137.14
  6. Step 6: Final answer
    x = 83,924.32

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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.