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Finding the Fourth Proportional to 214,635.34, 322,069.65 and 90,063.82

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Solution

The fourth proportional to 214,635.34, 322,069.65 and 90,063.82 is: 135,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,635.34 : 322,069.65 = 90,063.82 : x
  2. Step 2: Convert to fraction form
    214,635.34/322,069.65 = 90,063.82/x
  3. Step 3: Cross multiply
    214,635.34x = 322,069.65 × 90,063.82
  4. Step 4: Simplify right side
    214,635.34x = 29,006,822,985.06
  5. Step 5: Solve for x
    x = 29,006,822,985.06/214,635.34
  6. Step 6: Final answer
    x = 135,144.67

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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.