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Finding the Fourth Proportional to 202,923.44, 280,042.60 and 112,277.92

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Solution

The fourth proportional to 202,923.44, 280,042.60 and 112,277.92 is: 154,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,923.44 : 280,042.60 = 112,277.92 : x
  2. Step 2: Convert to fraction form
    202,923.44/280,042.60 = 112,277.92/x
  3. Step 3: Cross multiply
    202,923.44x = 280,042.60 × 112,277.92
  4. Step 4: Simplify right side
    202,923.44x = 31,442,600,639.39
  5. Step 5: Solve for x
    x = 31,442,600,639.39/202,923.44
  6. Step 6: Final answer
    x = 154,948.10

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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.