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Finding the Fourth Proportional to 219,516.42, 302,933.16 and 118,914.42

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Solution

The fourth proportional to 219,516.42, 302,933.16 and 118,914.42 is: 164,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,516.42 : 302,933.16 = 118,914.42 : x
  2. Step 2: Convert to fraction form
    219,516.42/302,933.16 = 118,914.42/x
  3. Step 3: Cross multiply
    219,516.42x = 302,933.16 × 118,914.42
  4. Step 4: Simplify right side
    219,516.42x = 36,023,121,020.17
  5. Step 5: Solve for x
    x = 36,023,121,020.17/219,516.42
  6. Step 6: Final answer
    x = 164,102.17

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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.