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Finding the Fourth Proportional to 202,886, 280,003.60 and 116,847.80

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Solution

The fourth proportional to 202,886, 280,003.60 and 116,847.80 is: 161,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,886 : 280,003.60 = 116,847.80 : x
  2. Step 2: Convert to fraction form
    202,886/280,003.60 = 116,847.80/x
  3. Step 3: Cross multiply
    202,886x = 280,003.60 × 116,847.80
  4. Step 4: Simplify right side
    202,886x = 32,717,804,652.08
  5. Step 5: Solve for x
    x = 32,717,804,652.08/202,886
  6. Step 6: Final answer
    x = 161,262.01

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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.