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Finding the Fourth Proportional to 196,838.54, 295,262.34 and 70,487.36

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Solution

The fourth proportional to 196,838.54, 295,262.34 and 70,487.36 is: 105,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,838.54 : 295,262.34 = 70,487.36 : x
  2. Step 2: Convert to fraction form
    196,838.54/295,262.34 = 70,487.36/x
  3. Step 3: Cross multiply
    196,838.54x = 295,262.34 × 70,487.36
  4. Step 4: Simplify right side
    196,838.54x = 20,812,262,854.02
  5. Step 5: Solve for x
    x = 20,812,262,854.02/196,838.54
  6. Step 6: Final answer
    x = 105,732.66

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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.