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Finding the Fourth Proportional to 177,161.70, 265,742.55 and 102,512.10

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Solution

The fourth proportional to 177,161.70, 265,742.55 and 102,512.10 is: 153,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,161.70 : 265,742.55 = 102,512.10 : x
  2. Step 2: Convert to fraction form
    177,161.70/265,742.55 = 102,512.10/x
  3. Step 3: Cross multiply
    177,161.70x = 265,742.55 × 102,512.10
  4. Step 4: Simplify right side
    177,161.70x = 27,241,826,859.86
  5. Step 5: Solve for x
    x = 27,241,826,859.86/177,161.70
  6. Step 6: Final answer
    x = 153,768.15

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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.