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Finding the Fourth Proportional to 186,955.56, 279,986.40 and 107,829.90

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Solution

The fourth proportional to 186,955.56, 279,986.40 and 107,829.90 is: 161,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,955.56 : 279,986.40 = 107,829.90 : x
  2. Step 2: Convert to fraction form
    186,955.56/279,986.40 = 107,829.90/x
  3. Step 3: Cross multiply
    186,955.56x = 279,986.40 × 107,829.90
  4. Step 4: Simplify right side
    186,955.56x = 30,190,905,513.36
  5. Step 5: Solve for x
    x = 30,190,905,513.36/186,955.56
  6. Step 6: Final answer
    x = 161,487.07

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Why These Related Problems?

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