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Finding the Fourth Proportional to 115,080.42, 172,647.78 and 36,194.64

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Solution

The fourth proportional to 115,080.42, 172,647.78 and 36,194.64 is: 54,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,080.42 : 172,647.78 = 36,194.64 : x
  2. Step 2: Convert to fraction form
    115,080.42/172,647.78 = 36,194.64/x
  3. Step 3: Cross multiply
    115,080.42x = 172,647.78 × 36,194.64
  4. Step 4: Simplify right side
    115,080.42x = 6,248,924,243.90
  5. Step 5: Solve for x
    x = 6,248,924,243.90/115,080.42
  6. Step 6: Final answer
    x = 54,300.50

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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.