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Finding the Fourth Proportional to 147,576.70, 203,654.90 and 83,914.50

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Solution

The fourth proportional to 147,576.70, 203,654.90 and 83,914.50 is: 115,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,576.70 : 203,654.90 = 83,914.50 : x
  2. Step 2: Convert to fraction form
    147,576.70/203,654.90 = 83,914.50/x
  3. Step 3: Cross multiply
    147,576.70x = 203,654.90 × 83,914.50
  4. Step 4: Simplify right side
    147,576.70x = 17,089,599,315.84
  5. Step 5: Solve for x
    x = 17,089,599,315.84/147,576.70
  6. Step 6: Final answer
    x = 115,801.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.