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Finding the Fourth Proportional to 313,100.21, 432,078.44 and 169,860.22

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Solution

The fourth proportional to 313,100.21, 432,078.44 and 169,860.22 is: 234,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,100.21 : 432,078.44 = 169,860.22 : x
  2. Step 2: Convert to fraction form
    313,100.21/432,078.44 = 169,860.22/x
  3. Step 3: Cross multiply
    313,100.21x = 432,078.44 × 169,860.22
  4. Step 4: Simplify right side
    313,100.21x = 73,392,938,220.11
  5. Step 5: Solve for x
    x = 73,392,938,220.11/313,100.21
  6. Step 6: Final answer
    x = 234,407.18

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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.