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Finding the Fourth Proportional to 246,264.96, 369,418.41 and 77,740.20

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Solution

The fourth proportional to 246,264.96, 369,418.41 and 77,740.20 is: 116,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,264.96 : 369,418.41 = 77,740.20 : x
  2. Step 2: Convert to fraction form
    246,264.96/369,418.41 = 77,740.20/x
  3. Step 3: Cross multiply
    246,264.96x = 369,418.41 × 77,740.20
  4. Step 4: Simplify right side
    246,264.96x = 28,718,661,077.08
  5. Step 5: Solve for x
    x = 28,718,661,077.08/246,264.96
  6. Step 6: Final answer
    x = 116,616.92

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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.