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Finding the Fourth Proportional to 261,191.89, 360,292.10 and 164,242.33

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Solution

The fourth proportional to 261,191.89, 360,292.10 and 164,242.33 is: 226,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,191.89 : 360,292.10 = 164,242.33 : x
  2. Step 2: Convert to fraction form
    261,191.89/360,292.10 = 164,242.33/x
  3. Step 3: Cross multiply
    261,191.89x = 360,292.10 × 164,242.33
  4. Step 4: Simplify right side
    261,191.89x = 59,175,215,213.16
  5. Step 5: Solve for x
    x = 59,175,215,213.16/261,191.89
  6. Step 6: Final answer
    x = 226,558.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.