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Finding the Fourth Proportional to 214,776, 322,102.04 and 64,981.08

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Solution

The fourth proportional to 214,776, 322,102.04 and 64,981.08 is: 97,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,776 : 322,102.04 = 64,981.08 : x
  2. Step 2: Convert to fraction form
    214,776/322,102.04 = 64,981.08/x
  3. Step 3: Cross multiply
    214,776x = 322,102.04 × 64,981.08
  4. Step 4: Simplify right side
    214,776x = 20,930,538,104.50
  5. Step 5: Solve for x
    x = 20,930,538,104.50/214,776
  6. Step 6: Final answer
    x = 97,452.87

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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.