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Finding the Fourth Proportional to 105,400.50, 157,852.14 and 91,474.20

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Solution

The fourth proportional to 105,400.50, 157,852.14 and 91,474.20 is: 136,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,400.50 : 157,852.14 = 91,474.20 : x
  2. Step 2: Convert to fraction form
    105,400.50/157,852.14 = 91,474.20/x
  3. Step 3: Cross multiply
    105,400.50x = 157,852.14 × 91,474.20
  4. Step 4: Simplify right side
    105,400.50x = 14,439,398,224.79
  5. Step 5: Solve for x
    x = 14,439,398,224.79/105,400.50
  6. Step 6: Final answer
    x = 136,995.54

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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.