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Finding the Fourth Proportional to 262,214, 393,322.44 and 65,222

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Solution

The fourth proportional to 262,214, 393,322.44 and 65,222 is: 97,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,214 : 393,322.44 = 65,222 : x
  2. Step 2: Convert to fraction form
    262,214/393,322.44 = 65,222/x
  3. Step 3: Cross multiply
    262,214x = 393,322.44 × 65,222
  4. Step 4: Simplify right side
    262,214x = 25,653,276,181.68
  5. Step 5: Solve for x
    x = 25,653,276,181.68/262,214
  6. Step 6: Final answer
    x = 97,833.36

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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.