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Finding the Fourth Proportional to 175,339.44, 263,070.24 and 55,414.74

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Solution

The fourth proportional to 175,339.44, 263,070.24 and 55,414.74 is: 83,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,339.44 : 263,070.24 = 55,414.74 : x
  2. Step 2: Convert to fraction form
    175,339.44/263,070.24 = 55,414.74/x
  3. Step 3: Cross multiply
    175,339.44x = 263,070.24 × 55,414.74
  4. Step 4: Simplify right side
    175,339.44x = 14,577,968,951.34
  5. Step 5: Solve for x
    x = 14,577,968,951.34/175,339.44
  6. Step 6: Final answer
    x = 83,141.41

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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.