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Finding the Fourth Proportional to 196,659, 294,989.58 and 48,915

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Solution

The fourth proportional to 196,659, 294,989.58 and 48,915 is: 73,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,659 : 294,989.58 = 48,915 : x
  2. Step 2: Convert to fraction form
    196,659/294,989.58 = 48,915/x
  3. Step 3: Cross multiply
    196,659x = 294,989.58 × 48,915
  4. Step 4: Simplify right side
    196,659x = 14,429,415,305.70
  5. Step 5: Solve for x
    x = 14,429,415,305.70/196,659
  6. Step 6: Final answer
    x = 73,372.77

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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.