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Finding the Fourth Proportional to 200,426.63, 276,580.64 and 119,898.65

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Solution

The fourth proportional to 200,426.63, 276,580.64 and 119,898.65 is: 165,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,426.63 : 276,580.64 = 119,898.65 : x
  2. Step 2: Convert to fraction form
    200,426.63/276,580.64 = 119,898.65/x
  3. Step 3: Cross multiply
    200,426.63x = 276,580.64 × 119,898.65
  4. Step 4: Simplify right side
    200,426.63x = 33,161,646,343.33
  5. Step 5: Solve for x
    x = 33,161,646,343.33/200,426.63
  6. Step 6: Final answer
    x = 165,455.29

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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.