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Finding the Fourth Proportional to 354,148.50, 531,326.52 and 114,257.52

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Solution

The fourth proportional to 354,148.50, 531,326.52 and 114,257.52 is: 171,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,148.50 : 531,326.52 = 114,257.52 : x
  2. Step 2: Convert to fraction form
    354,148.50/531,326.52 = 114,257.52/x
  3. Step 3: Cross multiply
    354,148.50x = 531,326.52 × 114,257.52
  4. Step 4: Simplify right side
    354,148.50x = 60,708,050,485.43
  5. Step 5: Solve for x
    x = 60,708,050,485.43/354,148.50
  6. Step 6: Final answer
    x = 171,419.76

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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.