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Finding the Fourth Proportional to 106,196.39, 146,549.89 and 58,448.71

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Solution

The fourth proportional to 106,196.39, 146,549.89 and 58,448.71 is: 80,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,196.39 : 146,549.89 = 58,448.71 : x
  2. Step 2: Convert to fraction form
    106,196.39/146,549.89 = 58,448.71/x
  3. Step 3: Cross multiply
    106,196.39x = 146,549.89 × 58,448.71
  4. Step 4: Simplify right side
    106,196.39x = 8,565,652,021.14
  5. Step 5: Solve for x
    x = 8,565,652,021.14/106,196.39
  6. Step 6: Final answer
    x = 80,658.60

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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.