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Finding the Fourth Proportional to 274,744.65, 412,235.51 and 148,359.72

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Solution

The fourth proportional to 274,744.65, 412,235.51 and 148,359.72 is: 222,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,744.65 : 412,235.51 = 148,359.72 : x
  2. Step 2: Convert to fraction form
    274,744.65/412,235.51 = 148,359.72/x
  3. Step 3: Cross multiply
    274,744.65x = 412,235.51 × 148,359.72
  4. Step 4: Simplify right side
    274,744.65x = 61,159,144,095.86
  5. Step 5: Solve for x
    x = 61,159,144,095.86/274,744.65
  6. Step 6: Final answer
    x = 222,603.59

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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.