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Finding the Fourth Proportional to 255,970.62, 353,309.71 and 148,575.25

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Solution

The fourth proportional to 255,970.62, 353,309.71 and 148,575.25 is: 205,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,970.62 : 353,309.71 = 148,575.25 : x
  2. Step 2: Convert to fraction form
    255,970.62/353,309.71 = 148,575.25/x
  3. Step 3: Cross multiply
    255,970.62x = 353,309.71 × 148,575.25
  4. Step 4: Simplify right side
    255,970.62x = 52,493,079,745.39
  5. Step 5: Solve for x
    x = 52,493,079,745.39/255,970.62
  6. Step 6: Final answer
    x = 205,074.63

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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.