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Finding the Fourth Proportional to 200,855.66, 301,282.18 and 51,094.67

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Solution

The fourth proportional to 200,855.66, 301,282.18 and 51,094.67 is: 76,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855.66 : 301,282.18 = 51,094.67 : x
  2. Step 2: Convert to fraction form
    200,855.66/301,282.18 = 51,094.67/x
  3. Step 3: Cross multiply
    200,855.66x = 301,282.18 × 51,094.67
  4. Step 4: Simplify right side
    200,855.66x = 15,393,913,563.98
  5. Step 5: Solve for x
    x = 15,393,913,563.98/200,855.66
  6. Step 6: Final answer
    x = 76,641.67

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1.5x scale

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.