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Finding the Fourth Proportional to 230,849.22, 318,704.42 and 175,970.54

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Solution

The fourth proportional to 230,849.22, 318,704.42 and 175,970.54 is: 242,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,849.22 : 318,704.42 = 175,970.54 : x
  2. Step 2: Convert to fraction form
    230,849.22/318,704.42 = 175,970.54/x
  3. Step 3: Cross multiply
    230,849.22x = 318,704.42 × 175,970.54
  4. Step 4: Simplify right side
    230,849.22x = 56,082,590,124.47
  5. Step 5: Solve for x
    x = 56,082,590,124.47/230,849.22
  6. Step 6: Final answer
    x = 242,940.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.