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Finding the Fourth Proportional to 262,102.50, 393,154.02 and 65,110.50

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Solution

The fourth proportional to 262,102.50, 393,154.02 and 65,110.50 is: 97,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,102.50 : 393,154.02 = 65,110.50 : x
  2. Step 2: Convert to fraction form
    262,102.50/393,154.02 = 65,110.50/x
  3. Step 3: Cross multiply
    262,102.50x = 393,154.02 × 65,110.50
  4. Step 4: Simplify right side
    262,102.50x = 25,598,454,819.21
  5. Step 5: Solve for x
    x = 25,598,454,819.21/262,102.50
  6. Step 6: Final answer
    x = 97,665.82

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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.