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Finding the Fourth Proportional to 197,117.80, 295,287.90 and 113,914.60

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Solution

The fourth proportional to 197,117.80, 295,287.90 and 113,914.60 is: 170,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,117.80 : 295,287.90 = 113,914.60 : x
  2. Step 2: Convert to fraction form
    197,117.80/295,287.90 = 113,914.60/x
  3. Step 3: Cross multiply
    197,117.80x = 295,287.90 × 113,914.60
  4. Step 4: Simplify right side
    197,117.80x = 33,637,603,013.34
  5. Step 5: Solve for x
    x = 33,637,603,013.34/197,117.80
  6. Step 6: Final answer
    x = 170,647.21

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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.