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Finding the Fourth Proportional to 264,878.16, 397,308.39 and 115,118.58

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Solution

The fourth proportional to 264,878.16, 397,308.39 and 115,118.58 is: 172,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,878.16 : 397,308.39 = 115,118.58 : x
  2. Step 2: Convert to fraction form
    264,878.16/397,308.39 = 115,118.58/x
  3. Step 3: Cross multiply
    264,878.16x = 397,308.39 × 115,118.58
  4. Step 4: Simplify right side
    264,878.16x = 45,737,577,678.89
  5. Step 5: Solve for x
    x = 45,737,577,678.89/264,878.16
  6. Step 6: Final answer
    x = 172,674.02

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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.