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Finding the Fourth Proportional to 257,200.29, 354,949.74 and 142,491.51

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Solution

The fourth proportional to 257,200.29, 354,949.74 and 142,491.51 is: 196,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.29 : 354,949.74 = 142,491.51 : x
  2. Step 2: Convert to fraction form
    257,200.29/354,949.74 = 142,491.51/x
  3. Step 3: Cross multiply
    257,200.29x = 354,949.74 × 142,491.51
  4. Step 4: Simplify right side
    257,200.29x = 50,577,324,426.71
  5. Step 5: Solve for x
    x = 50,577,324,426.71/257,200.29
  6. Step 6: Final answer
    x = 196,645.67

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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.