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Finding the Fourth Proportional to 196,748.80, 295,123.20 and 49,004.80

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Solution

The fourth proportional to 196,748.80, 295,123.20 and 49,004.80 is: 73,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,748.80 : 295,123.20 = 49,004.80 : x
  2. Step 2: Convert to fraction form
    196,748.80/295,123.20 = 49,004.80/x
  3. Step 3: Cross multiply
    196,748.80x = 295,123.20 × 49,004.80
  4. Step 4: Simplify right side
    196,748.80x = 14,462,453,391.36
  5. Step 5: Solve for x
    x = 14,462,453,391.36/196,748.80
  6. Step 6: Final answer
    x = 73,507.20

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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.