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Finding the Fourth Proportional to 200,360, 276,496.80 and 110,941.76

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Solution

The fourth proportional to 200,360, 276,496.80 and 110,941.76 is: 153,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360 : 276,496.80 = 110,941.76 : x
  2. Step 2: Convert to fraction form
    200,360/276,496.80 = 110,941.76/x
  3. Step 3: Cross multiply
    200,360x = 276,496.80 × 110,941.76
  4. Step 4: Simplify right side
    200,360x = 30,675,041,626.37
  5. Step 5: Solve for x
    x = 30,675,041,626.37/200,360
  6. Step 6: Final answer
    x = 153,099.63

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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.