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Finding the Fourth Proportional to 105,264.84, 157,614.32 and 80,185.42

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Solution

The fourth proportional to 105,264.84, 157,614.32 and 80,185.42 is: 120,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,264.84 : 157,614.32 = 80,185.42 : x
  2. Step 2: Convert to fraction form
    105,264.84/157,614.32 = 80,185.42/x
  3. Step 3: Cross multiply
    105,264.84x = 157,614.32 × 80,185.42
  4. Step 4: Simplify right side
    105,264.84x = 12,638,370,447.21
  5. Step 5: Solve for x
    x = 12,638,370,447.21/105,264.84
  6. Step 6: Final answer
    x = 120,062.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.