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Finding the Fourth Proportional to 192,057.47, 265,056.90 and 106,031.87

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Solution

The fourth proportional to 192,057.47, 265,056.90 and 106,031.87 is: 146,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,057.47 : 265,056.90 = 106,031.87 : x
  2. Step 2: Convert to fraction form
    192,057.47/265,056.90 = 106,031.87/x
  3. Step 3: Cross multiply
    192,057.47x = 265,056.90 × 106,031.87
  4. Step 4: Simplify right side
    192,057.47x = 28,104,478,763.40
  5. Step 5: Solve for x
    x = 28,104,478,763.40/192,057.47
  6. Step 6: Final answer
    x = 146,333.69

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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.