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Finding the Fourth Proportional to 175,434, 242,104.68 and 95,946

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Solution

The fourth proportional to 175,434, 242,104.68 and 95,946 is: 132,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,434 : 242,104.68 = 95,946 : x
  2. Step 2: Convert to fraction form
    175,434/242,104.68 = 95,946/x
  3. Step 3: Cross multiply
    175,434x = 242,104.68 × 95,946
  4. Step 4: Simplify right side
    175,434x = 23,228,975,627.28
  5. Step 5: Solve for x
    x = 23,228,975,627.28/175,434
  6. Step 6: Final answer
    x = 132,408.63

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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.