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Finding the Fourth Proportional to 213,541.32, 320,305.71 and 55,769.79

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Solution

The fourth proportional to 213,541.32, 320,305.71 and 55,769.79 is: 83,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,541.32 : 320,305.71 = 55,769.79 : x
  2. Step 2: Convert to fraction form
    213,541.32/320,305.71 = 55,769.79/x
  3. Step 3: Cross multiply
    213,541.32x = 320,305.71 × 55,769.79
  4. Step 4: Simplify right side
    213,541.32x = 17,863,382,182.50
  5. Step 5: Solve for x
    x = 17,863,382,182.50/213,541.32
  6. Step 6: Final answer
    x = 83,653.05

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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.