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Finding the Fourth Proportional to 196,464.80, 295,474.80 and 176,247.20

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Solution

The fourth proportional to 196,464.80, 295,474.80 and 176,247.20 is: 265,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,464.80 : 295,474.80 = 176,247.20 : x
  2. Step 2: Convert to fraction form
    196,464.80/295,474.80 = 176,247.20/x
  3. Step 3: Cross multiply
    196,464.80x = 295,474.80 × 176,247.20
  4. Step 4: Simplify right side
    196,464.80x = 52,076,606,170.56
  5. Step 5: Solve for x
    x = 52,076,606,170.56/196,464.80
  6. Step 6: Final answer
    x = 265,068.38

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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.