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Finding the Fourth Proportional to 197,309.63, 295,962.58 and 85,069.14

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Solution

The fourth proportional to 197,309.63, 295,962.58 and 85,069.14 is: 127,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,309.63 : 295,962.58 = 85,069.14 : x
  2. Step 2: Convert to fraction form
    197,309.63/295,962.58 = 85,069.14/x
  3. Step 3: Cross multiply
    197,309.63x = 295,962.58 × 85,069.14
  4. Step 4: Simplify right side
    197,309.63x = 25,177,281,727.44
  5. Step 5: Solve for x
    x = 25,177,281,727.44/197,309.63
  6. Step 6: Final answer
    x = 127,602.91

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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.