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Finding the Fourth Proportional to 213,171.51, 294,168.97 and 117,676.16

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Solution

The fourth proportional to 213,171.51, 294,168.97 and 117,676.16 is: 162,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,171.51 : 294,168.97 = 117,676.16 : x
  2. Step 2: Convert to fraction form
    213,171.51/294,168.97 = 117,676.16/x
  3. Step 3: Cross multiply
    213,171.51x = 294,168.97 × 117,676.16
  4. Step 4: Simplify right side
    213,171.51x = 34,616,674,780.76
  5. Step 5: Solve for x
    x = 34,616,674,780.76/213,171.51
  6. Step 6: Final answer
    x = 162,388.84

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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.