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Finding the Fourth Proportional to 106,509.26, 146,980.32 and 58,762.58

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Solution

The fourth proportional to 106,509.26, 146,980.32 and 58,762.58 is: 81,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.26 : 146,980.32 = 58,762.58 : x
  2. Step 2: Convert to fraction form
    106,509.26/146,980.32 = 58,762.58/x
  3. Step 3: Cross multiply
    106,509.26x = 146,980.32 × 58,762.58
  4. Step 4: Simplify right side
    106,509.26x = 8,636,942,812.43
  5. Step 5: Solve for x
    x = 8,636,942,812.43/106,509.26
  6. Step 6: Final answer
    x = 81,091.00

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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.