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Finding the Fourth Proportional to 213,208, 294,252.96 and 123,784

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Solution

The fourth proportional to 213,208, 294,252.96 and 123,784 is: 170,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,208 : 294,252.96 = 123,784 : x
  2. Step 2: Convert to fraction form
    213,208/294,252.96 = 123,784/x
  3. Step 3: Cross multiply
    213,208x = 294,252.96 × 123,784
  4. Step 4: Simplify right side
    213,208x = 36,423,808,400.64
  5. Step 5: Solve for x
    x = 36,423,808,400.64/213,208
  6. Step 6: Final answer
    x = 170,836.97

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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.