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Finding the Fourth Proportional to 161,097.80, 241,409.10 and 116,817.80

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Solution

The fourth proportional to 161,097.80, 241,409.10 and 116,817.80 is: 175,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,097.80 : 241,409.10 = 116,817.80 : x
  2. Step 2: Convert to fraction form
    161,097.80/241,409.10 = 116,817.80/x
  3. Step 3: Cross multiply
    161,097.80x = 241,409.10 × 116,817.80
  4. Step 4: Simplify right side
    161,097.80x = 28,200,879,961.98
  5. Step 5: Solve for x
    x = 28,200,879,961.98/161,097.80
  6. Step 6: Final answer
    x = 175,054.41

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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.