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Finding the Fourth Proportional to 160,493.94, 240,780.94 and 48,176.24

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Solution

The fourth proportional to 160,493.94, 240,780.94 and 48,176.24 is: 72,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,493.94 : 240,780.94 = 48,176.24 : x
  2. Step 2: Convert to fraction form
    160,493.94/240,780.94 = 48,176.24/x
  3. Step 3: Cross multiply
    160,493.94x = 240,780.94 × 48,176.24
  4. Step 4: Simplify right side
    160,493.94x = 11,599,919,028.52
  5. Step 5: Solve for x
    x = 11,599,919,028.52/160,493.94
  6. Step 6: Final answer
    x = 72,276.37

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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.