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Finding the Fourth Proportional to 213,441.84, 294,549.84 and 117,948.54

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Solution

The fourth proportional to 213,441.84, 294,549.84 and 117,948.54 is: 162,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,441.84 : 294,549.84 = 117,948.54 : x
  2. Step 2: Convert to fraction form
    213,441.84/294,549.84 = 117,948.54/x
  3. Step 3: Cross multiply
    213,441.84x = 294,549.84 × 117,948.54
  4. Step 4: Simplify right side
    213,441.84x = 34,741,723,585.23
  5. Step 5: Solve for x
    x = 34,741,723,585.23/213,441.84
  6. Step 6: Final answer
    x = 162,769.04

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1.5x scale

Why These Related Problems?

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