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Finding the Fourth Proportional to 202,920.46, 280,083.39 and 116,889.34

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Solution

The fourth proportional to 202,920.46, 280,083.39 and 116,889.34 is: 161,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920.46 : 280,083.39 = 116,889.34 : x
  2. Step 2: Convert to fraction form
    202,920.46/280,083.39 = 116,889.34/x
  3. Step 3: Cross multiply
    202,920.46x = 280,083.39 × 116,889.34
  4. Step 4: Simplify right side
    202,920.46x = 32,738,762,602.06
  5. Step 5: Solve for x
    x = 32,738,762,602.06/202,920.46
  6. Step 6: Final answer
    x = 161,337.91

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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.