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Finding the Fourth Proportional to 213,606.60, 320,458.50 and 113,714.16

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Solution

The fourth proportional to 213,606.60, 320,458.50 and 113,714.16 is: 170,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,606.60 : 320,458.50 = 113,714.16 : x
  2. Step 2: Convert to fraction form
    213,606.60/320,458.50 = 113,714.16/x
  3. Step 3: Cross multiply
    213,606.60x = 320,458.50 × 113,714.16
  4. Step 4: Simplify right side
    213,606.60x = 36,440,669,142.36
  5. Step 5: Solve for x
    x = 36,440,669,142.36/213,606.60
  6. Step 6: Final answer
    x = 170,597.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.