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Finding the Fourth Proportional to 214,389.35, 295,852.11 and 117,594.49

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Solution

The fourth proportional to 214,389.35, 295,852.11 and 117,594.49 is: 162,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,389.35 : 295,852.11 = 117,594.49 : x
  2. Step 2: Convert to fraction form
    214,389.35/295,852.11 = 117,594.49/x
  3. Step 3: Cross multiply
    214,389.35x = 295,852.11 × 117,594.49
  4. Step 4: Simplify right side
    214,389.35x = 34,790,576,810.26
  5. Step 5: Solve for x
    x = 34,790,576,810.26/214,389.35
  6. Step 6: Final answer
    x = 162,277.54

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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.