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Finding the Fourth Proportional to 217,039.40, 325,364.70 and 142,195.40

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Solution

The fourth proportional to 217,039.40, 325,364.70 and 142,195.40 is: 213,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,039.40 : 325,364.70 = 142,195.40 : x
  2. Step 2: Convert to fraction form
    217,039.40/325,364.70 = 142,195.40/x
  3. Step 3: Cross multiply
    217,039.40x = 325,364.70 × 142,195.40
  4. Step 4: Simplify right side
    217,039.40x = 46,265,363,662.38
  5. Step 5: Solve for x
    x = 46,265,363,662.38/217,039.40
  6. Step 6: Final answer
    x = 213,165.74

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1.5x scale

Why These Related Problems?

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