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Finding the Fourth Proportional to 214,830.81, 322,443.14 and 115,103.61

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Solution

The fourth proportional to 214,830.81, 322,443.14 and 115,103.61 is: 172,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,830.81 : 322,443.14 = 115,103.61 : x
  2. Step 2: Convert to fraction form
    214,830.81/322,443.14 = 115,103.61/x
  3. Step 3: Cross multiply
    214,830.81x = 322,443.14 × 115,103.61
  4. Step 4: Simplify right side
    214,830.81x = 37,114,368,858.22
  5. Step 5: Solve for x
    x = 37,114,368,858.22/214,830.81
  6. Step 6: Final answer
    x = 172,760.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.