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Finding the Fourth Proportional to 220,978.96, 304,952.97 and 133,766.06

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Solution

The fourth proportional to 220,978.96, 304,952.97 and 133,766.06 is: 184,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,978.96 : 304,952.97 = 133,766.06 : x
  2. Step 2: Convert to fraction form
    220,978.96/304,952.97 = 133,766.06/x
  3. Step 3: Cross multiply
    220,978.96x = 304,952.97 × 133,766.06
  4. Step 4: Simplify right side
    220,978.96x = 40,792,356,613.37
  5. Step 5: Solve for x
    x = 40,792,356,613.37/220,978.96
  6. Step 6: Final answer
    x = 184,598.38

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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.