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Finding the Fourth Proportional to 175,590.92, 242,273.28 and 106,679

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Solution

The fourth proportional to 175,590.92, 242,273.28 and 106,679 is: 147,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,590.92 : 242,273.28 = 106,679 : x
  2. Step 2: Convert to fraction form
    175,590.92/242,273.28 = 106,679/x
  3. Step 3: Cross multiply
    175,590.92x = 242,273.28 × 106,679
  4. Step 4: Simplify right side
    175,590.92x = 25,845,471,237.12
  5. Step 5: Solve for x
    x = 25,845,471,237.12/175,590.92
  6. Step 6: Final answer
    x = 147,191.39

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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.