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Finding the Fourth Proportional to 205,806.96, 308,706.66 and 56,044.98

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Solution

The fourth proportional to 205,806.96, 308,706.66 and 56,044.98 is: 84,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,806.96 : 308,706.66 = 56,044.98 : x
  2. Step 2: Convert to fraction form
    205,806.96/308,706.66 = 56,044.98/x
  3. Step 3: Cross multiply
    205,806.96x = 308,706.66 × 56,044.98
  4. Step 4: Simplify right side
    205,806.96x = 17,301,458,585.57
  5. Step 5: Solve for x
    x = 17,301,458,585.57/205,806.96
  6. Step 6: Final answer
    x = 84,066.44

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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.