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Finding the Fourth Proportional to 192,585.24, 265,762.62 and 106,542

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Solution

The fourth proportional to 192,585.24, 265,762.62 and 106,542 is: 147,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,585.24 : 265,762.62 = 106,542 : x
  2. Step 2: Convert to fraction form
    192,585.24/265,762.62 = 106,542/x
  3. Step 3: Cross multiply
    192,585.24x = 265,762.62 × 106,542
  4. Step 4: Simplify right side
    192,585.24x = 28,314,881,060.04
  5. Step 5: Solve for x
    x = 28,314,881,060.04/192,585.24
  6. Step 6: Final answer
    x = 147,025.19

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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.