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Finding the Fourth Proportional to 233,496.63, 322,233.26 and 138,085.11

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Solution

The fourth proportional to 233,496.63, 322,233.26 and 138,085.11 is: 190,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,496.63 : 322,233.26 = 138,085.11 : x
  2. Step 2: Convert to fraction form
    233,496.63/322,233.26 = 138,085.11/x
  3. Step 3: Cross multiply
    233,496.63x = 322,233.26 × 138,085.11
  4. Step 4: Simplify right side
    233,496.63x = 44,495,614,462.33
  5. Step 5: Solve for x
    x = 44,495,614,462.33/233,496.63
  6. Step 6: Final answer
    x = 190,562.13

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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.