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Finding the Fourth Proportional to 199,405.29, 275,172.59 and 118,791.06

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Solution

The fourth proportional to 199,405.29, 275,172.59 and 118,791.06 is: 163,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405.29 : 275,172.59 = 118,791.06 : x
  2. Step 2: Convert to fraction form
    199,405.29/275,172.59 = 118,791.06/x
  3. Step 3: Cross multiply
    199,405.29x = 275,172.59 × 118,791.06
  4. Step 4: Simplify right side
    199,405.29x = 32,688,042,914.13
  5. Step 5: Solve for x
    x = 32,688,042,914.13/199,405.29
  6. Step 6: Final answer
    x = 163,927.66

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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.