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Finding the Fourth Proportional to 137,782.28, 190,141.62 and 133,014.60

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Solution

The fourth proportional to 137,782.28, 190,141.62 and 133,014.60 is: 183,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782.28 : 190,141.62 = 133,014.60 : x
  2. Step 2: Convert to fraction form
    137,782.28/190,141.62 = 133,014.60/x
  3. Step 3: Cross multiply
    137,782.28x = 190,141.62 × 133,014.60
  4. Step 4: Simplify right side
    137,782.28x = 25,291,611,527.65
  5. Step 5: Solve for x
    x = 25,291,611,527.65/137,782.28
  6. Step 6: Final answer
    x = 183,562.15

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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.