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Finding the Fourth Proportional to 175,560, 242,273.28 and 96,072

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Solution

The fourth proportional to 175,560, 242,273.28 and 96,072 is: 132,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,560 : 242,273.28 = 96,072 : x
  2. Step 2: Convert to fraction form
    175,560/242,273.28 = 96,072/x
  3. Step 3: Cross multiply
    175,560x = 242,273.28 × 96,072
  4. Step 4: Simplify right side
    175,560x = 23,275,678,556.16
  5. Step 5: Solve for x
    x = 23,275,678,556.16/175,560
  6. Step 6: Final answer
    x = 132,579.62

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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.