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Finding the Fourth Proportional to 334,144.65, 461,119.13 and 181,182.57

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Solution

The fourth proportional to 334,144.65, 461,119.13 and 181,182.57 is: 250,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,144.65 : 461,119.13 = 181,182.57 : x
  2. Step 2: Convert to fraction form
    334,144.65/461,119.13 = 181,182.57/x
  3. Step 3: Cross multiply
    334,144.65x = 461,119.13 × 181,182.57
  4. Step 4: Simplify right side
    334,144.65x = 83,546,747,093.89
  5. Step 5: Solve for x
    x = 83,546,747,093.89/334,144.65
  6. Step 6: Final answer
    x = 250,031.67

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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.