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Finding the Fourth Proportional to 219,538.68, 302,963.26 and 118,936.68

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Solution

The fourth proportional to 219,538.68, 302,963.26 and 118,936.68 is: 164,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,538.68 : 302,963.26 = 118,936.68 : x
  2. Step 2: Convert to fraction form
    219,538.68/302,963.26 = 118,936.68/x
  3. Step 3: Cross multiply
    219,538.68x = 302,963.26 × 118,936.68
  4. Step 4: Simplify right side
    219,538.68x = 36,033,444,306.38
  5. Step 5: Solve for x
    x = 36,033,444,306.38/219,538.68
  6. Step 6: Final answer
    x = 164,132.55

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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.