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Finding the Fourth Proportional to 202,961.85, 280,143.63 and 118,095.30

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Solution

The fourth proportional to 202,961.85, 280,143.63 and 118,095.30 is: 163,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.85 : 280,143.63 = 118,095.30 : x
  2. Step 2: Convert to fraction form
    202,961.85/280,143.63 = 118,095.30/x
  3. Step 3: Cross multiply
    202,961.85x = 280,143.63 × 118,095.30
  4. Step 4: Simplify right side
    202,961.85x = 33,083,646,027.94
  5. Step 5: Solve for x
    x = 33,083,646,027.94/202,961.85
  6. Step 6: Final answer
    x = 163,004.26

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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.