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Finding the Fourth Proportional to 177,157.80, 265,808.38 and 71,949.48

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Solution

The fourth proportional to 177,157.80, 265,808.38 and 71,949.48 is: 107,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,157.80 : 265,808.38 = 71,949.48 : x
  2. Step 2: Convert to fraction form
    177,157.80/265,808.38 = 71,949.48/x
  3. Step 3: Cross multiply
    177,157.80x = 265,808.38 × 71,949.48
  4. Step 4: Simplify right side
    177,157.80x = 19,124,774,720.64
  5. Step 5: Solve for x
    x = 19,124,774,720.64/177,157.80
  6. Step 6: Final answer
    x = 107,953.33

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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.