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Finding the Fourth Proportional to 118,896, 178,302.72 and 34,633.44

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Solution

The fourth proportional to 118,896, 178,302.72 and 34,633.44 is: 51,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,896 : 178,302.72 = 34,633.44 : x
  2. Step 2: Convert to fraction form
    118,896/178,302.72 = 34,633.44/x
  3. Step 3: Cross multiply
    118,896x = 178,302.72 × 34,633.44
  4. Step 4: Simplify right side
    118,896x = 6,175,236,554.96
  5. Step 5: Solve for x
    x = 6,175,236,554.96/118,896
  6. Step 6: Final answer
    x = 51,938.14

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Why These Related Problems?

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