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Finding the Fourth Proportional to 313,081.50, 432,052.47 and 178,948.38

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Solution

The fourth proportional to 313,081.50, 432,052.47 and 178,948.38 is: 246,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,081.50 : 432,052.47 = 178,948.38 : x
  2. Step 2: Convert to fraction form
    313,081.50/432,052.47 = 178,948.38/x
  3. Step 3: Cross multiply
    313,081.50x = 432,052.47 × 178,948.38
  4. Step 4: Simplify right side
    313,081.50x = 77,315,089,581.50
  5. Step 5: Solve for x
    x = 77,315,089,581.50/313,081.50
  6. Step 6: Final answer
    x = 246,948.76

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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.