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Finding the Fourth Proportional to 140,046.79, 193,264.45 and 76,384.39

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Solution

The fourth proportional to 140,046.79, 193,264.45 and 76,384.39 is: 105,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,046.79 : 193,264.45 = 76,384.39 : x
  2. Step 2: Convert to fraction form
    140,046.79/193,264.45 = 76,384.39/x
  3. Step 3: Cross multiply
    140,046.79x = 193,264.45 × 76,384.39
  4. Step 4: Simplify right side
    140,046.79x = 14,762,387,121.94
  5. Step 5: Solve for x
    x = 14,762,387,121.94/140,046.79
  6. Step 6: Final answer
    x = 105,410.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.