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Finding the Fourth Proportional to 329,797.50, 494,671.38 and 105,148.86

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Solution

The fourth proportional to 329,797.50, 494,671.38 and 105,148.86 is: 157,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,797.50 : 494,671.38 = 105,148.86 : x
  2. Step 2: Convert to fraction form
    329,797.50/494,671.38 = 105,148.86/x
  3. Step 3: Cross multiply
    329,797.50x = 494,671.38 × 105,148.86
  4. Step 4: Simplify right side
    329,797.50x = 52,014,131,681.63
  5. Step 5: Solve for x
    x = 52,014,131,681.63/329,797.50
  6. Step 6: Final answer
    x = 157,715.36

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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.