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Finding the Fourth Proportional to 212,102.63, 292,699 and 116,608.49

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Solution

The fourth proportional to 212,102.63, 292,699 and 116,608.49 is: 160,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.63 : 292,699 = 116,608.49 : x
  2. Step 2: Convert to fraction form
    212,102.63/292,699 = 116,608.49/x
  3. Step 3: Cross multiply
    212,102.63x = 292,699 × 116,608.49
  4. Step 4: Simplify right side
    212,102.63x = 34,131,188,414.51
  5. Step 5: Solve for x
    x = 34,131,188,414.51/212,102.63
  6. Step 6: Final answer
    x = 160,918.27

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1.5x scale

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.