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Finding the Fourth Proportional to 177,208.20, 265,812.30 and 83,896.20

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Solution

The fourth proportional to 177,208.20, 265,812.30 and 83,896.20 is: 125,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,208.20 : 265,812.30 = 83,896.20 : x
  2. Step 2: Convert to fraction form
    177,208.20/265,812.30 = 83,896.20/x
  3. Step 3: Cross multiply
    177,208.20x = 265,812.30 × 83,896.20
  4. Step 4: Simplify right side
    177,208.20x = 22,300,641,883.26
  5. Step 5: Solve for x
    x = 22,300,641,883.26/177,208.20
  6. Step 6: Final answer
    x = 125,844.30

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1.5x scale

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.