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Finding the Fourth Proportional to 96,336.54, 144,482.13 and 54,234.90

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Solution

The fourth proportional to 96,336.54, 144,482.13 and 54,234.90 is: 81,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,336.54 : 144,482.13 = 54,234.90 : x
  2. Step 2: Convert to fraction form
    96,336.54/144,482.13 = 54,234.90/x
  3. Step 3: Cross multiply
    96,336.54x = 144,482.13 × 54,234.90
  4. Step 4: Simplify right side
    96,336.54x = 7,835,973,872.34
  5. Step 5: Solve for x
    x = 7,835,973,872.34/96,336.54
  6. Step 6: Final answer
    x = 81,339.58

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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.