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Finding the Fourth Proportional to 175,932, 242,786.16 and 96,444

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Solution

The fourth proportional to 175,932, 242,786.16 and 96,444 is: 133,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,932 : 242,786.16 = 96,444 : x
  2. Step 2: Convert to fraction form
    175,932/242,786.16 = 96,444/x
  3. Step 3: Cross multiply
    175,932x = 242,786.16 × 96,444
  4. Step 4: Simplify right side
    175,932x = 23,415,268,415.04
  5. Step 5: Solve for x
    x = 23,415,268,415.04/175,932
  6. Step 6: Final answer
    x = 133,092.72

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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.