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Finding the Fourth Proportional to 197,312.66, 295,919.78 and 77,393.98

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Solution

The fourth proportional to 197,312.66, 295,919.78 and 77,393.98 is: 116,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,312.66 : 295,919.78 = 77,393.98 : x
  2. Step 2: Convert to fraction form
    197,312.66/295,919.78 = 77,393.98/x
  3. Step 3: Cross multiply
    197,312.66x = 295,919.78 × 77,393.98
  4. Step 4: Simplify right side
    197,312.66x = 22,902,409,953.20
  5. Step 5: Solve for x
    x = 22,902,409,953.20/197,312.66
  6. Step 6: Final answer
    x = 116,071.67

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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.