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Finding the Fourth Proportional to 205,762.93, 284,049.93 and 154,795.11

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Solution

The fourth proportional to 205,762.93, 284,049.93 and 154,795.11 is: 213,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.93 : 284,049.93 = 154,795.11 : x
  2. Step 2: Convert to fraction form
    205,762.93/284,049.93 = 154,795.11/x
  3. Step 3: Cross multiply
    205,762.93x = 284,049.93 × 154,795.11
  4. Step 4: Simplify right side
    205,762.93x = 43,969,540,159.84
  5. Step 5: Solve for x
    x = 43,969,540,159.84/205,762.93
  6. Step 6: Final answer
    x = 213,690.29

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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.