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Finding the Fourth Proportional to 229,108.51, 343,914.16 and 182,026.25

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Solution

The fourth proportional to 229,108.51, 343,914.16 and 182,026.25 is: 273,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,108.51 : 343,914.16 = 182,026.25 : x
  2. Step 2: Convert to fraction form
    229,108.51/343,914.16 = 182,026.25/x
  3. Step 3: Cross multiply
    229,108.51x = 343,914.16 × 182,026.25
  4. Step 4: Simplify right side
    229,108.51x = 62,601,402,692.06
  5. Step 5: Solve for x
    x = 62,601,402,692.06/229,108.51
  6. Step 6: Final answer
    x = 273,239.10

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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.