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Finding the Fourth Proportional to 154,755.48, 232,166.64 and 48,137.41

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Solution

The fourth proportional to 154,755.48, 232,166.64 and 48,137.41 is: 72,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,755.48 : 232,166.64 = 48,137.41 : x
  2. Step 2: Convert to fraction form
    154,755.48/232,166.64 = 48,137.41/x
  3. Step 3: Cross multiply
    154,755.48x = 232,166.64 × 48,137.41
  4. Step 4: Simplify right side
    154,755.48x = 11,175,899,632.02
  5. Step 5: Solve for x
    x = 11,175,899,632.02/154,755.48
  6. Step 6: Final answer
    x = 72,216.50

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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.