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Finding the Fourth Proportional to 180,274.50, 248,769.02 and 99,697.32

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Solution

The fourth proportional to 180,274.50, 248,769.02 and 99,697.32 is: 137,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,274.50 : 248,769.02 = 99,697.32 : x
  2. Step 2: Convert to fraction form
    180,274.50/248,769.02 = 99,697.32/x
  3. Step 3: Cross multiply
    180,274.50x = 248,769.02 × 99,697.32
  4. Step 4: Simplify right side
    180,274.50x = 24,801,604,842.27
  5. Step 5: Solve for x
    x = 24,801,604,842.27/180,274.50
  6. Step 6: Final answer
    x = 137,576.89

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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.