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Finding the Fourth Proportional to 219,524.64, 302,943.99 and 118,922.64

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Solution

The fourth proportional to 219,524.64, 302,943.99 and 118,922.64 is: 164,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,524.64 : 302,943.99 = 118,922.64 : x
  2. Step 2: Convert to fraction form
    219,524.64/302,943.99 = 118,922.64/x
  3. Step 3: Cross multiply
    219,524.64x = 302,943.99 × 118,922.64
  4. Step 4: Simplify right side
    219,524.64x = 36,026,899,062.93
  5. Step 5: Solve for x
    x = 36,026,899,062.93/219,524.64
  6. Step 6: Final answer
    x = 164,113.24

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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.