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Finding the Fourth Proportional to 262,156.50, 393,236.19 and 65,164.50

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Solution

The fourth proportional to 262,156.50, 393,236.19 and 65,164.50 is: 97,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,156.50 : 393,236.19 = 65,164.50 : x
  2. Step 2: Convert to fraction form
    262,156.50/393,236.19 = 65,164.50/x
  3. Step 3: Cross multiply
    262,156.50x = 393,236.19 × 65,164.50
  4. Step 4: Simplify right side
    262,156.50x = 25,625,039,703.26
  5. Step 5: Solve for x
    x = 25,625,039,703.26/262,156.50
  6. Step 6: Final answer
    x = 97,747.11

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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.