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Finding the Fourth Proportional to 262,120.50, 393,181.02 and 65,128.50

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Solution

The fourth proportional to 262,120.50, 393,181.02 and 65,128.50 is: 97,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,120.50 : 393,181.02 = 65,128.50 : x
  2. Step 2: Convert to fraction form
    262,120.50/393,181.02 = 65,128.50/x
  3. Step 3: Cross multiply
    262,120.50x = 393,181.02 × 65,128.50
  4. Step 4: Simplify right side
    262,120.50x = 25,607,290,061.07
  5. Step 5: Solve for x
    x = 25,607,290,061.07/262,120.50
  6. Step 6: Final answer
    x = 97,692.82

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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.