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Finding the Fourth Proportional to 246,295.94, 369,441.72 and 77,816.25

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Solution

The fourth proportional to 246,295.94, 369,441.72 and 77,816.25 is: 116,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,295.94 : 369,441.72 = 77,816.25 : x
  2. Step 2: Convert to fraction form
    246,295.94/369,441.72 = 77,816.25/x
  3. Step 3: Cross multiply
    246,295.94x = 369,441.72 × 77,816.25
  4. Step 4: Simplify right side
    246,295.94x = 28,748,569,243.95
  5. Step 5: Solve for x
    x = 28,748,569,243.95/246,295.94
  6. Step 6: Final answer
    x = 116,723.69

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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.