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Finding the Fourth Proportional to 196,627, 294,941.60 and 48,883

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Solution

The fourth proportional to 196,627, 294,941.60 and 48,883 is: 73,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,627 : 294,941.60 = 48,883 : x
  2. Step 2: Convert to fraction form
    196,627/294,941.60 = 48,883/x
  3. Step 3: Cross multiply
    196,627x = 294,941.60 × 48,883
  4. Step 4: Simplify right side
    196,627x = 14,417,630,232.80
  5. Step 5: Solve for x
    x = 14,417,630,232.80/196,627
  6. Step 6: Final answer
    x = 73,324.77

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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.