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Finding the Fourth Proportional to 160,578.94, 240,859.05 and 48,256.78

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Solution

The fourth proportional to 160,578.94, 240,859.05 and 48,256.78 is: 72,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,578.94 : 240,859.05 = 48,256.78 : x
  2. Step 2: Convert to fraction form
    160,578.94/240,859.05 = 48,256.78/x
  3. Step 3: Cross multiply
    160,578.94x = 240,859.05 × 48,256.78
  4. Step 4: Simplify right side
    160,578.94x = 11,623,082,186.86
  5. Step 5: Solve for x
    x = 11,623,082,186.86/160,578.94
  6. Step 6: Final answer
    x = 72,382.36

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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.