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Finding the Fourth Proportional to 175,605.96, 242,310.14 and 106,659.54

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Solution

The fourth proportional to 175,605.96, 242,310.14 and 106,659.54 is: 147,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,605.96 : 242,310.14 = 106,659.54 : x
  2. Step 2: Convert to fraction form
    175,605.96/242,310.14 = 106,659.54/x
  3. Step 3: Cross multiply
    175,605.96x = 242,310.14 × 106,659.54
  4. Step 4: Simplify right side
    175,605.96x = 25,844,688,069.74
  5. Step 5: Solve for x
    x = 25,844,688,069.74/175,605.96
  6. Step 6: Final answer
    x = 147,174.32

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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.