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Finding the Fourth Proportional to 202,993.36, 280,126.92 and 112,349.32

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Solution

The fourth proportional to 202,993.36, 280,126.92 and 112,349.32 is: 155,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,993.36 : 280,126.92 = 112,349.32 : x
  2. Step 2: Convert to fraction form
    202,993.36/280,126.92 = 112,349.32/x
  3. Step 3: Cross multiply
    202,993.36x = 280,126.92 × 112,349.32
  4. Step 4: Simplify right side
    202,993.36x = 31,472,068,975.69
  5. Step 5: Solve for x
    x = 31,472,068,975.69/202,993.36
  6. Step 6: Final answer
    x = 155,039.89

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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.