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Finding the Fourth Proportional to 205,065.63, 307,596.60 and 64,824.30

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Solution

The fourth proportional to 205,065.63, 307,596.60 and 64,824.30 is: 97,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.63 : 307,596.60 = 64,824.30 : x
  2. Step 2: Convert to fraction form
    205,065.63/307,596.60 = 64,824.30/x
  3. Step 3: Cross multiply
    205,065.63x = 307,596.60 × 64,824.30
  4. Step 4: Simplify right side
    205,065.63x = 19,939,734,277.38
  5. Step 5: Solve for x
    x = 19,939,734,277.38/205,065.63
  6. Step 6: Final answer
    x = 97,235.87

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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.