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Finding the Fourth Proportional to 262,105.50, 393,158.52 and 65,113.50

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Solution

The fourth proportional to 262,105.50, 393,158.52 and 65,113.50 is: 97,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,105.50 : 393,158.52 = 65,113.50 : x
  2. Step 2: Convert to fraction form
    262,105.50/393,158.52 = 65,113.50/x
  3. Step 3: Cross multiply
    262,105.50x = 393,158.52 × 65,113.50
  4. Step 4: Simplify right side
    262,105.50x = 25,599,927,292.02
  5. Step 5: Solve for x
    x = 25,599,927,292.02/262,105.50
  6. Step 6: Final answer
    x = 97,670.32

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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.