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Finding the Fourth Proportional to 190,298.40, 262,611.79 and 105,415.46

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Solution

The fourth proportional to 190,298.40, 262,611.79 and 105,415.46 is: 145,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,298.40 : 262,611.79 = 105,415.46 : x
  2. Step 2: Convert to fraction form
    190,298.40/262,611.79 = 105,415.46/x
  3. Step 3: Cross multiply
    190,298.40x = 262,611.79 × 105,415.46
  4. Step 4: Simplify right side
    190,298.40x = 27,683,342,644.27
  5. Step 5: Solve for x
    x = 27,683,342,644.27/190,298.40
  6. Step 6: Final answer
    x = 145,473.33

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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.