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Finding the Fourth Proportional to 196,615, 294,923.58 and 48,871

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Solution

The fourth proportional to 196,615, 294,923.58 and 48,871 is: 73,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,615 : 294,923.58 = 48,871 : x
  2. Step 2: Convert to fraction form
    196,615/294,923.58 = 48,871/x
  3. Step 3: Cross multiply
    196,615x = 294,923.58 × 48,871
  4. Step 4: Simplify right side
    196,615x = 14,413,210,278.18
  5. Step 5: Solve for x
    x = 14,413,210,278.18/196,615
  6. Step 6: Final answer
    x = 73,306.77

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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.