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Finding the Fourth Proportional to 197,955.90, 296,929.62 and 48,196.98

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Solution

The fourth proportional to 197,955.90, 296,929.62 and 48,196.98 is: 72,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,955.90 : 296,929.62 = 48,196.98 : x
  2. Step 2: Convert to fraction form
    197,955.90/296,929.62 = 48,196.98/x
  3. Step 3: Cross multiply
    197,955.90x = 296,929.62 × 48,196.98
  4. Step 4: Simplify right side
    197,955.90x = 14,311,110,956.55
  5. Step 5: Solve for x
    x = 14,311,110,956.55/197,955.90
  6. Step 6: Final answer
    x = 72,294.44

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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.