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Finding the Fourth Proportional to 197,323.98, 295,936.76 and 77,405.30

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Solution

The fourth proportional to 197,323.98, 295,936.76 and 77,405.30 is: 116,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,323.98 : 295,936.76 = 77,405.30 : x
  2. Step 2: Convert to fraction form
    197,323.98/295,936.76 = 77,405.30/x
  3. Step 3: Cross multiply
    197,323.98x = 295,936.76 × 77,405.30
  4. Step 4: Simplify right side
    197,323.98x = 22,907,073,688.83
  5. Step 5: Solve for x
    x = 22,907,073,688.83/197,323.98
  6. Step 6: Final answer
    x = 116,088.65

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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.