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Finding the Fourth Proportional to 246,433.76, 369,696.16 and 77,996.48

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Solution

The fourth proportional to 246,433.76, 369,696.16 and 77,996.48 is: 117,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,433.76 : 369,696.16 = 77,996.48 : x
  2. Step 2: Convert to fraction form
    246,433.76/369,696.16 = 77,996.48/x
  3. Step 3: Cross multiply
    246,433.76x = 369,696.16 × 77,996.48
  4. Step 4: Simplify right side
    246,433.76x = 28,834,999,149.52
  5. Step 5: Solve for x
    x = 28,834,999,149.52/246,433.76
  6. Step 6: Final answer
    x = 117,009.13

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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.