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Finding the Fourth Proportional to 274,830.72, 412,472.16 and 117,237.12

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Solution

The fourth proportional to 274,830.72, 412,472.16 and 117,237.12 is: 175,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,830.72 : 412,472.16 = 117,237.12 : x
  2. Step 2: Convert to fraction form
    274,830.72/412,472.16 = 117,237.12/x
  3. Step 3: Cross multiply
    274,830.72x = 412,472.16 × 117,237.12
  4. Step 4: Simplify right side
    274,830.72x = 48,357,048,118.58
  5. Step 5: Solve for x
    x = 48,357,048,118.58/274,830.72
  6. Step 6: Final answer
    x = 175,952.12

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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.