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Finding the Fourth Proportional to 196,188.76, 270,721.76 and 110,128.04

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Solution

The fourth proportional to 196,188.76, 270,721.76 and 110,128.04 is: 151,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,188.76 : 270,721.76 = 110,128.04 : x
  2. Step 2: Convert to fraction form
    196,188.76/270,721.76 = 110,128.04/x
  3. Step 3: Cross multiply
    196,188.76x = 270,721.76 × 110,128.04
  4. Step 4: Simplify right side
    196,188.76x = 29,814,056,814.15
  5. Step 5: Solve for x
    x = 29,814,056,814.15/196,188.76
  6. Step 6: Final answer
    x = 151,966.18

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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.