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Finding the Fourth Proportional to 196,731, 295,097.58 and 48,987

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Solution

The fourth proportional to 196,731, 295,097.58 and 48,987 is: 73,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,731 : 295,097.58 = 48,987 : x
  2. Step 2: Convert to fraction form
    196,731/295,097.58 = 48,987/x
  3. Step 3: Cross multiply
    196,731x = 295,097.58 × 48,987
  4. Step 4: Simplify right side
    196,731x = 14,455,945,151.46
  5. Step 5: Solve for x
    x = 14,455,945,151.46/196,731
  6. Step 6: Final answer
    x = 73,480.77

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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.