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Finding the Fourth Proportional to 293,555.25, 405,106.25 and 159,419.25

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Solution

The fourth proportional to 293,555.25, 405,106.25 and 159,419.25 is: 219,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,555.25 : 405,106.25 = 159,419.25 : x
  2. Step 2: Convert to fraction form
    293,555.25/405,106.25 = 159,419.25/x
  3. Step 3: Cross multiply
    293,555.25x = 405,106.25 × 159,419.25
  4. Step 4: Simplify right side
    293,555.25x = 64,581,733,748.22
  5. Step 5: Solve for x
    x = 64,581,733,748.22/293,555.25
  6. Step 6: Final answer
    x = 219,998.57

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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.