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Finding the Fourth Proportional to 432,100.94, 648,163.26 and 116,556.94

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Solution

The fourth proportional to 432,100.94, 648,163.26 and 116,556.94 is: 174,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,100.94 : 648,163.26 = 116,556.94 : x
  2. Step 2: Convert to fraction form
    432,100.94/648,163.26 = 116,556.94/x
  3. Step 3: Cross multiply
    432,100.94x = 648,163.26 × 116,556.94
  4. Step 4: Simplify right side
    432,100.94x = 75,547,924,585.62
  5. Step 5: Solve for x
    x = 75,547,924,585.62/432,100.94
  6. Step 6: Final answer
    x = 174,838.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.