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Finding the Fourth Proportional to 177,321.60, 265,982.40 and 84,009.60

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Solution

The fourth proportional to 177,321.60, 265,982.40 and 84,009.60 is: 126,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,321.60 : 265,982.40 = 84,009.60 : x
  2. Step 2: Convert to fraction form
    177,321.60/265,982.40 = 84,009.60/x
  3. Step 3: Cross multiply
    177,321.60x = 265,982.40 × 84,009.60
  4. Step 4: Simplify right side
    177,321.60x = 22,345,075,031.04
  5. Step 5: Solve for x
    x = 22,345,075,031.04/177,321.60
  6. Step 6: Final answer
    x = 126,014.40

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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.