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Finding the Fourth Proportional to 243,182.88, 364,902.75 and 172,561.86

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Solution

The fourth proportional to 243,182.88, 364,902.75 and 172,561.86 is: 258,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,182.88 : 364,902.75 = 172,561.86 : x
  2. Step 2: Convert to fraction form
    243,182.88/364,902.75 = 172,561.86/x
  3. Step 3: Cross multiply
    243,182.88x = 364,902.75 × 172,561.86
  4. Step 4: Simplify right side
    243,182.88x = 62,968,297,259.12
  5. Step 5: Solve for x
    x = 62,968,297,259.12/243,182.88
  6. Step 6: Final answer
    x = 258,933.92

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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.