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Finding the Fourth Proportional to 205,959.80, 308,421.30 and 135,457.40

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Solution

The fourth proportional to 205,959.80, 308,421.30 and 135,457.40 is: 202,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959.80 : 308,421.30 = 135,457.40 : x
  2. Step 2: Convert to fraction form
    205,959.80/308,421.30 = 135,457.40/x
  3. Step 3: Cross multiply
    205,959.80x = 308,421.30 × 135,457.40
  4. Step 4: Simplify right side
    205,959.80x = 41,777,947,402.62
  5. Step 5: Solve for x
    x = 41,777,947,402.62/205,959.80
  6. Step 6: Final answer
    x = 202,845.15

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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.