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Finding the Fourth Proportional to 246,945.66, 370,379.86 and 78,443.82

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Solution

The fourth proportional to 246,945.66, 370,379.86 and 78,443.82 is: 117,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,945.66 : 370,379.86 = 78,443.82 : x
  2. Step 2: Convert to fraction form
    246,945.66/370,379.86 = 78,443.82/x
  3. Step 3: Cross multiply
    246,945.66x = 370,379.86 × 78,443.82
  4. Step 4: Simplify right side
    246,945.66x = 29,054,011,069.47
  5. Step 5: Solve for x
    x = 29,054,011,069.47/246,945.66
  6. Step 6: Final answer
    x = 117,653.46

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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.