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Finding the Fourth Proportional to 258,051.20, 387,076.80 and 242,499.20

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Solution

The fourth proportional to 258,051.20, 387,076.80 and 242,499.20 is: 363,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,051.20 : 387,076.80 = 242,499.20 : x
  2. Step 2: Convert to fraction form
    258,051.20/387,076.80 = 242,499.20/x
  3. Step 3: Cross multiply
    258,051.20x = 387,076.80 × 242,499.20
  4. Step 4: Simplify right side
    258,051.20x = 93,865,814,338.56
  5. Step 5: Solve for x
    x = 93,865,814,338.56/258,051.20
  6. Step 6: Final answer
    x = 363,748.80

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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.