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Finding the Fourth Proportional to 214,661.29, 322,003.33 and 64,897.76

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Solution

The fourth proportional to 214,661.29, 322,003.33 and 64,897.76 is: 97,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,661.29 : 322,003.33 = 64,897.76 : x
  2. Step 2: Convert to fraction form
    214,661.29/322,003.33 = 64,897.76/x
  3. Step 3: Cross multiply
    214,661.29x = 322,003.33 × 64,897.76
  4. Step 4: Simplify right side
    214,661.29x = 20,897,295,247.64
  5. Step 5: Solve for x
    x = 20,897,295,247.64/214,661.29
  6. Step 6: Final answer
    x = 97,350.09

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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.