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Finding the Fourth Proportional to 177,201.58, 265,724.34 and 64,852.60

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Solution

The fourth proportional to 177,201.58, 265,724.34 and 64,852.60 is: 97,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,201.58 : 265,724.34 = 64,852.60 : x
  2. Step 2: Convert to fraction form
    177,201.58/265,724.34 = 64,852.60/x
  3. Step 3: Cross multiply
    177,201.58x = 265,724.34 × 64,852.60
  4. Step 4: Simplify right side
    177,201.58x = 17,232,914,332.28
  5. Step 5: Solve for x
    x = 17,232,914,332.28/177,201.58
  6. Step 6: Final answer
    x = 97,250.34

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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.