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Finding the Fourth Proportional to 214,384.69, 295,829.52 and 123,769.90

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Solution

The fourth proportional to 214,384.69, 295,829.52 and 123,769.90 is: 170,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,384.69 : 295,829.52 = 123,769.90 : x
  2. Step 2: Convert to fraction form
    214,384.69/295,829.52 = 123,769.90/x
  3. Step 3: Cross multiply
    214,384.69x = 295,829.52 × 123,769.90
  4. Step 4: Simplify right side
    214,384.69x = 36,614,790,107.45
  5. Step 5: Solve for x
    x = 36,614,790,107.45/214,384.69
  6. Step 6: Final answer
    x = 170,790.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.