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Finding the Fourth Proportional to 205,080.80, 307,669.80 and 105,256.40

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Solution

The fourth proportional to 205,080.80, 307,669.80 and 105,256.40 is: 157,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,080.80 : 307,669.80 = 105,256.40 : x
  2. Step 2: Convert to fraction form
    205,080.80/307,669.80 = 105,256.40/x
  3. Step 3: Cross multiply
    205,080.80x = 307,669.80 × 105,256.40
  4. Step 4: Simplify right side
    205,080.80x = 32,384,215,536.72
  5. Step 5: Solve for x
    x = 32,384,215,536.72/205,080.80
  6. Step 6: Final answer
    x = 157,909.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.