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Finding the Fourth Proportional to 173,142.80, 259,714.20 and 162,774.80

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Solution

The fourth proportional to 173,142.80, 259,714.20 and 162,774.80 is: 244,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,142.80 : 259,714.20 = 162,774.80 : x
  2. Step 2: Convert to fraction form
    173,142.80/259,714.20 = 162,774.80/x
  3. Step 3: Cross multiply
    173,142.80x = 259,714.20 × 162,774.80
  4. Step 4: Simplify right side
    173,142.80x = 42,274,926,962.16
  5. Step 5: Solve for x
    x = 42,274,926,962.16/173,142.80
  6. Step 6: Final answer
    x = 244,162.20

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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.