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Finding the Fourth Proportional to 177,105.20, 265,657.80 and 159,609.20

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Solution

The fourth proportional to 177,105.20, 265,657.80 and 159,609.20 is: 239,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,105.20 : 265,657.80 = 159,609.20 : x
  2. Step 2: Convert to fraction form
    177,105.20/265,657.80 = 159,609.20/x
  3. Step 3: Cross multiply
    177,105.20x = 265,657.80 × 159,609.20
  4. Step 4: Simplify right side
    177,105.20x = 42,401,428,931.76
  5. Step 5: Solve for x
    x = 42,401,428,931.76/177,105.20
  6. Step 6: Final answer
    x = 239,413.80

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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.