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Finding the Fourth Proportional to 131,570.70, 197,226.45 and 65,021.10

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Solution

The fourth proportional to 131,570.70, 197,226.45 and 65,021.10 is: 97,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,570.70 : 197,226.45 = 65,021.10 : x
  2. Step 2: Convert to fraction form
    131,570.70/197,226.45 = 65,021.10/x
  3. Step 3: Cross multiply
    131,570.70x = 197,226.45 × 65,021.10
  4. Step 4: Simplify right side
    131,570.70x = 12,823,880,728.10
  5. Step 5: Solve for x
    x = 12,823,880,728.10/131,570.70
  6. Step 6: Final answer
    x = 97,467.60

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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.