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Finding the Fourth Proportional to 205,825.65, 308,246.40 and 166,459.65

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Solution

The fourth proportional to 205,825.65, 308,246.40 and 166,459.65 is: 249,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,825.65 : 308,246.40 = 166,459.65 : x
  2. Step 2: Convert to fraction form
    205,825.65/308,246.40 = 166,459.65/x
  3. Step 3: Cross multiply
    205,825.65x = 308,246.40 × 166,459.65
  4. Step 4: Simplify right side
    205,825.65x = 51,310,587,857.76
  5. Step 5: Solve for x
    x = 51,310,587,857.76/205,825.65
  6. Step 6: Final answer
    x = 249,291.51

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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.