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Finding the Fourth Proportional to 219,344.94, 302,696.12 and 118,742.94

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Solution

The fourth proportional to 219,344.94, 302,696.12 and 118,742.94 is: 163,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,344.94 : 302,696.12 = 118,742.94 : x
  2. Step 2: Convert to fraction form
    219,344.94/302,696.12 = 118,742.94/x
  3. Step 3: Cross multiply
    219,344.94x = 302,696.12 × 118,742.94
  4. Step 4: Simplify right side
    219,344.94x = 35,943,027,215.39
  5. Step 5: Solve for x
    x = 35,943,027,215.39/219,344.94
  6. Step 6: Final answer
    x = 163,865.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.