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Finding the Fourth Proportional to 106,403.90, 146,838.36 and 58,658.96

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Solution

The fourth proportional to 106,403.90, 146,838.36 and 58,658.96 is: 80,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,403.90 : 146,838.36 = 58,658.96 : x
  2. Step 2: Convert to fraction form
    106,403.90/146,838.36 = 58,658.96/x
  3. Step 3: Cross multiply
    106,403.90x = 146,838.36 × 58,658.96
  4. Step 4: Simplify right side
    106,403.90x = 8,613,385,485.71
  5. Step 5: Solve for x
    x = 8,613,385,485.71/106,403.90
  6. Step 6: Final answer
    x = 80,949.90

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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.