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Finding the Fourth Proportional to 177,201.84, 265,663.24 and 88,409.68

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Solution

The fourth proportional to 177,201.84, 265,663.24 and 88,409.68 is: 132,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,201.84 : 265,663.24 = 88,409.68 : x
  2. Step 2: Convert to fraction form
    177,201.84/265,663.24 = 88,409.68/x
  3. Step 3: Cross multiply
    177,201.84x = 265,663.24 × 88,409.68
  4. Step 4: Simplify right side
    177,201.84x = 23,487,202,036.16
  5. Step 5: Solve for x
    x = 23,487,202,036.16/177,201.84
  6. Step 6: Final answer
    x = 132,544.91

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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.