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Finding the Fourth Proportional to 196,599, 294,898.52 and 48,855

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Solution

The fourth proportional to 196,599, 294,898.52 and 48,855 is: 73,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,599 : 294,898.52 = 48,855 : x
  2. Step 2: Convert to fraction form
    196,599/294,898.52 = 48,855/x
  3. Step 3: Cross multiply
    196,599x = 294,898.52 × 48,855
  4. Step 4: Simplify right side
    196,599x = 14,407,267,194.60
  5. Step 5: Solve for x
    x = 14,407,267,194.60/196,599
  6. Step 6: Final answer
    x = 73,282.50

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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.