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Finding the Fourth Proportional to 205,501.50, 308,252.25 and 57,757.50

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Solution

The fourth proportional to 205,501.50, 308,252.25 and 57,757.50 is: 86,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,501.50 : 308,252.25 = 57,757.50 : x
  2. Step 2: Convert to fraction form
    205,501.50/308,252.25 = 57,757.50/x
  3. Step 3: Cross multiply
    205,501.50x = 308,252.25 × 57,757.50
  4. Step 4: Simplify right side
    205,501.50x = 17,803,879,329.38
  5. Step 5: Solve for x
    x = 17,803,879,329.38/205,501.50
  6. Step 6: Final answer
    x = 86,636.25

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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.