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Finding the Fourth Proportional to 202,935.96, 280,011.78 and 112,274.97

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Solution

The fourth proportional to 202,935.96, 280,011.78 and 112,274.97 is: 154,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,935.96 : 280,011.78 = 112,274.97 : x
  2. Step 2: Convert to fraction form
    202,935.96/280,011.78 = 112,274.97/x
  3. Step 3: Cross multiply
    202,935.96x = 280,011.78 × 112,274.97
  4. Step 4: Simplify right side
    202,935.96x = 31,438,314,199.15
  5. Step 5: Solve for x
    x = 31,438,314,199.15/202,935.96
  6. Step 6: Final answer
    x = 154,917.41

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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.