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Finding the Fourth Proportional to 205,104.40, 307,397.40 and 182,813.20

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Solution

The fourth proportional to 205,104.40, 307,397.40 and 182,813.20 is: 273,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,104.40 : 307,397.40 = 182,813.20 : x
  2. Step 2: Convert to fraction form
    205,104.40/307,397.40 = 182,813.20/x
  3. Step 3: Cross multiply
    205,104.40x = 307,397.40 × 182,813.20
  4. Step 4: Simplify right side
    205,104.40x = 56,196,302,365.68
  5. Step 5: Solve for x
    x = 56,196,302,365.68/205,104.40
  6. Step 6: Final answer
    x = 273,988.77

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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.