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Finding the Fourth Proportional to 192,457.64, 265,586.05 and 106,415.14

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Solution

The fourth proportional to 192,457.64, 265,586.05 and 106,415.14 is: 146,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,457.64 : 265,586.05 = 106,415.14 : x
  2. Step 2: Convert to fraction form
    192,457.64/265,586.05 = 106,415.14/x
  3. Step 3: Cross multiply
    192,457.64x = 265,586.05 × 106,415.14
  4. Step 4: Simplify right side
    192,457.64x = 28,262,376,160.72
  5. Step 5: Solve for x
    x = 28,262,376,160.72/192,457.64
  6. Step 6: Final answer
    x = 146,849.85

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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.