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Finding the Fourth Proportional to 177,035.20, 265,552.80 and 159,539.20

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Solution

The fourth proportional to 177,035.20, 265,552.80 and 159,539.20 is: 239,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,035.20 : 265,552.80 = 159,539.20 : x
  2. Step 2: Convert to fraction form
    177,035.20/265,552.80 = 159,539.20/x
  3. Step 3: Cross multiply
    177,035.20x = 265,552.80 × 159,539.20
  4. Step 4: Simplify right side
    177,035.20x = 42,366,081,269.76
  5. Step 5: Solve for x
    x = 42,366,081,269.76/177,035.20
  6. Step 6: Final answer
    x = 239,308.80

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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.