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Finding the Fourth Proportional to 246,078, 369,152.64 and 77,541.30

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Solution

The fourth proportional to 246,078, 369,152.64 and 77,541.30 is: 116,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,078 : 369,152.64 = 77,541.30 : x
  2. Step 2: Convert to fraction form
    246,078/369,152.64 = 77,541.30/x
  3. Step 3: Cross multiply
    246,078x = 369,152.64 × 77,541.30
  4. Step 4: Simplify right side
    246,078x = 28,624,575,604.03
  5. Step 5: Solve for x
    x = 28,624,575,604.03/246,078
  6. Step 6: Final answer
    x = 116,323.18

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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.