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Finding the Fourth Proportional to 293,668, 405,261.84 and 159,532

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Solution

The fourth proportional to 293,668, 405,261.84 and 159,532 is: 220,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,668 : 405,261.84 = 159,532 : x
  2. Step 2: Convert to fraction form
    293,668/405,261.84 = 159,532/x
  3. Step 3: Cross multiply
    293,668x = 405,261.84 × 159,532
  4. Step 4: Simplify right side
    293,668x = 64,652,231,858.88
  5. Step 5: Solve for x
    x = 64,652,231,858.88/293,668
  6. Step 6: Final answer
    x = 220,154.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.