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Finding the Fourth Proportional to 200,359.44, 276,502.64 and 109,719.24

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Solution

The fourth proportional to 200,359.44, 276,502.64 and 109,719.24 is: 151,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,359.44 : 276,502.64 = 109,719.24 : x
  2. Step 2: Convert to fraction form
    200,359.44/276,502.64 = 109,719.24/x
  3. Step 3: Cross multiply
    200,359.44x = 276,502.64 × 109,719.24
  4. Step 4: Simplify right side
    200,359.44x = 30,337,659,518.79
  5. Step 5: Solve for x
    x = 30,337,659,518.79/200,359.44
  6. Step 6: Final answer
    x = 151,416.17

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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.