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Finding the Fourth Proportional to 192,457.14, 265,585.36 and 106,414.64

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Solution

The fourth proportional to 192,457.14, 265,585.36 and 106,414.64 is: 146,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,457.14 : 265,585.36 = 106,414.64 : x
  2. Step 2: Convert to fraction form
    192,457.14/265,585.36 = 106,414.64/x
  3. Step 3: Cross multiply
    192,457.14x = 265,585.36 × 106,414.64
  4. Step 4: Simplify right side
    192,457.14x = 28,262,170,207.63
  5. Step 5: Solve for x
    x = 28,262,170,207.63/192,457.14
  6. Step 6: Final answer
    x = 146,849.17

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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.