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Finding the Fourth Proportional to 239,692.50, 359,676.12 and 97,511.54

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Solution

The fourth proportional to 239,692.50, 359,676.12 and 97,511.54 is: 146,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,692.50 : 359,676.12 = 97,511.54 : x
  2. Step 2: Convert to fraction form
    239,692.50/359,676.12 = 97,511.54/x
  3. Step 3: Cross multiply
    239,692.50x = 359,676.12 × 97,511.54
  4. Step 4: Simplify right side
    239,692.50x = 35,072,570,564.04
  5. Step 5: Solve for x
    x = 35,072,570,564.04/239,692.50
  6. Step 6: Final answer
    x = 146,323.19

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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.