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Finding the Fourth Proportional to 211,064.90, 315,906.15 and 164,063.30

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Solution

The fourth proportional to 211,064.90, 315,906.15 and 164,063.30 is: 245,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,064.90 : 315,906.15 = 164,063.30 : x
  2. Step 2: Convert to fraction form
    211,064.90/315,906.15 = 164,063.30/x
  3. Step 3: Cross multiply
    211,064.90x = 315,906.15 × 164,063.30
  4. Step 4: Simplify right side
    211,064.90x = 51,828,605,459.30
  5. Step 5: Solve for x
    x = 51,828,605,459.30/211,064.90
  6. Step 6: Final answer
    x = 245,557.67

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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.