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Finding the Fourth Proportional to 228,090.33, 314,755.47 and 132,589.51

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Solution

The fourth proportional to 228,090.33, 314,755.47 and 132,589.51 is: 182,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,090.33 : 314,755.47 = 132,589.51 : x
  2. Step 2: Convert to fraction form
    228,090.33/314,755.47 = 132,589.51/x
  3. Step 3: Cross multiply
    228,090.33x = 314,755.47 × 132,589.51
  4. Step 4: Simplify right side
    228,090.33x = 41,733,272,750.23
  5. Step 5: Solve for x
    x = 41,733,272,750.23/228,090.33
  6. Step 6: Final answer
    x = 182,968.18

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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.