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Finding the Fourth Proportional to 205,670.01, 308,501.77 and 149,864.25

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Solution

The fourth proportional to 205,670.01, 308,501.77 and 149,864.25 is: 224,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,670.01 : 308,501.77 = 149,864.25 : x
  2. Step 2: Convert to fraction form
    205,670.01/308,501.77 = 149,864.25/x
  3. Step 3: Cross multiply
    205,670.01x = 308,501.77 × 149,864.25
  4. Step 4: Simplify right side
    205,670.01x = 46,233,384,467.55
  5. Step 5: Solve for x
    x = 46,233,384,467.55/205,670.01
  6. Step 6: Final answer
    x = 224,794.01

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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.