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Finding the Fourth Proportional to 186,009.66, 256,816.95 and 142,912.38

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Solution

The fourth proportional to 186,009.66, 256,816.95 and 142,912.38 is: 197,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,009.66 : 256,816.95 = 142,912.38 : x
  2. Step 2: Convert to fraction form
    186,009.66/256,816.95 = 142,912.38/x
  3. Step 3: Cross multiply
    186,009.66x = 256,816.95 × 142,912.38
  4. Step 4: Simplify right side
    186,009.66x = 36,702,321,548.84
  5. Step 5: Solve for x
    x = 36,702,321,548.84/186,009.66
  6. Step 6: Final answer
    x = 197,314.06

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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.