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Finding the Fourth Proportional to 254,866.50, 351,343.98 and 178,146.68

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Solution

The fourth proportional to 254,866.50, 351,343.98 and 178,146.68 is: 245,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,866.50 : 351,343.98 = 178,146.68 : x
  2. Step 2: Convert to fraction form
    254,866.50/351,343.98 = 178,146.68/x
  3. Step 3: Cross multiply
    254,866.50x = 351,343.98 × 178,146.68
  4. Step 4: Simplify right side
    254,866.50x = 62,590,761,818.27
  5. Step 5: Solve for x
    x = 62,590,761,818.27/254,866.50
  6. Step 6: Final answer
    x = 245,582.54

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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.