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Finding the Fourth Proportional to 192,688.35, 265,904.45 and 106,650.86

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Solution

The fourth proportional to 192,688.35, 265,904.45 and 106,650.86 is: 147,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,688.35 : 265,904.45 = 106,650.86 : x
  2. Step 2: Convert to fraction form
    192,688.35/265,904.45 = 106,650.86/x
  3. Step 3: Cross multiply
    192,688.35x = 265,904.45 × 106,650.86
  4. Step 4: Simplify right side
    192,688.35x = 28,358,936,407.55
  5. Step 5: Solve for x
    x = 28,358,936,407.55/192,688.35
  6. Step 6: Final answer
    x = 147,175.15

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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.