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Finding the Fourth Proportional to 175,424, 242,090.88 and 95,936

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Solution

The fourth proportional to 175,424, 242,090.88 and 95,936 is: 132,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,424 : 242,090.88 = 95,936 : x
  2. Step 2: Convert to fraction form
    175,424/242,090.88 = 95,936/x
  3. Step 3: Cross multiply
    175,424x = 242,090.88 × 95,936
  4. Step 4: Simplify right side
    175,424x = 23,225,230,663.68
  5. Step 5: Solve for x
    x = 23,225,230,663.68/175,424
  6. Step 6: Final answer
    x = 132,394.83

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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.