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Finding the Fourth Proportional to 275,595.72, 413,048.52 and 117,639.24

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Solution

The fourth proportional to 275,595.72, 413,048.52 and 117,639.24 is: 176,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,595.72 : 413,048.52 = 117,639.24 : x
  2. Step 2: Convert to fraction form
    275,595.72/413,048.52 = 117,639.24/x
  3. Step 3: Cross multiply
    275,595.72x = 413,048.52 × 117,639.24
  4. Step 4: Simplify right side
    275,595.72x = 48,590,713,975.92
  5. Step 5: Solve for x
    x = 48,590,713,975.92/275,595.72
  6. Step 6: Final answer
    x = 176,311.57

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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.