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Finding the Fourth Proportional to 214,732.81, 322,033.60 and 102,353.82

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Solution

The fourth proportional to 214,732.81, 322,033.60 and 102,353.82 is: 153,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,732.81 : 322,033.60 = 102,353.82 : x
  2. Step 2: Convert to fraction form
    214,732.81/322,033.60 = 102,353.82/x
  3. Step 3: Cross multiply
    214,732.81x = 322,033.60 × 102,353.82
  4. Step 4: Simplify right side
    214,732.81x = 32,961,369,128.35
  5. Step 5: Solve for x
    x = 32,961,369,128.35/214,732.81
  6. Step 6: Final answer
    x = 153,499.45

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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.