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Finding the Fourth Proportional to 262,153, 393,230.94 and 65,161

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Solution

The fourth proportional to 262,153, 393,230.94 and 65,161 is: 97,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,153 : 393,230.94 = 65,161 : x
  2. Step 2: Convert to fraction form
    262,153/393,230.94 = 65,161/x
  3. Step 3: Cross multiply
    262,153x = 393,230.94 × 65,161
  4. Step 4: Simplify right side
    262,153x = 25,623,321,281.34
  5. Step 5: Solve for x
    x = 25,623,321,281.34/262,153
  6. Step 6: Final answer
    x = 97,741.86

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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.