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Finding the Fourth Proportional to 196,730, 295,096.08 and 48,986

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Solution

The fourth proportional to 196,730, 295,096.08 and 48,986 is: 73,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,730 : 295,096.08 = 48,986 : x
  2. Step 2: Convert to fraction form
    196,730/295,096.08 = 48,986/x
  3. Step 3: Cross multiply
    196,730x = 295,096.08 × 48,986
  4. Step 4: Simplify right side
    196,730x = 14,455,576,574.88
  5. Step 5: Solve for x
    x = 14,455,576,574.88/196,730
  6. Step 6: Final answer
    x = 73,479.27

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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.