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Finding the Fourth Proportional to 255,039.74, 382,034.58 and 149,604.47

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Solution

The fourth proportional to 255,039.74, 382,034.58 and 149,604.47 is: 224,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,039.74 : 382,034.58 = 149,604.47 : x
  2. Step 2: Convert to fraction form
    255,039.74/382,034.58 = 149,604.47/x
  3. Step 3: Cross multiply
    255,039.74x = 382,034.58 × 149,604.47
  4. Step 4: Simplify right side
    255,039.74x = 57,154,079,824.01
  5. Step 5: Solve for x
    x = 57,154,079,824.01/255,039.74
  6. Step 6: Final answer
    x = 224,098.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.