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Finding the Fourth Proportional to 200,455.70, 276,628.94 and 109,814.93

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Solution

The fourth proportional to 200,455.70, 276,628.94 and 109,814.93 is: 151,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,455.70 : 276,628.94 = 109,814.93 : x
  2. Step 2: Convert to fraction form
    200,455.70/276,628.94 = 109,814.93/x
  3. Step 3: Cross multiply
    200,455.70x = 276,628.94 × 109,814.93
  4. Step 4: Simplify right side
    200,455.70x = 30,377,987,682.07
  5. Step 5: Solve for x
    x = 30,377,987,682.07/200,455.70
  6. Step 6: Final answer
    x = 151,544.64

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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.