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Finding the Fourth Proportional to 175,378.72, 242,022.66 and 94,806

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Solution

The fourth proportional to 175,378.72, 242,022.66 and 94,806 is: 130,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,378.72 : 242,022.66 = 94,806 : x
  2. Step 2: Convert to fraction form
    175,378.72/242,022.66 = 94,806/x
  3. Step 3: Cross multiply
    175,378.72x = 242,022.66 × 94,806
  4. Step 4: Simplify right side
    175,378.72x = 22,945,200,303.96
  5. Step 5: Solve for x
    x = 22,945,200,303.96/175,378.72
  6. Step 6: Final answer
    x = 130,832.29

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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.