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Finding the Fourth Proportional to 213,157.96, 294,158.04 and 117,664.72

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Solution

The fourth proportional to 213,157.96, 294,158.04 and 117,664.72 is: 162,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,157.96 : 294,158.04 = 117,664.72 : x
  2. Step 2: Convert to fraction form
    213,157.96/294,158.04 = 117,664.72/x
  3. Step 3: Cross multiply
    213,157.96x = 294,158.04 × 117,664.72
  4. Step 4: Simplify right side
    213,157.96x = 34,612,023,412.35
  5. Step 5: Solve for x
    x = 34,612,023,412.35/213,157.96
  6. Step 6: Final answer
    x = 162,377.34

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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.