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Finding the Fourth Proportional to 177,200.16, 265,897.44 and 71,990.88

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Solution

The fourth proportional to 177,200.16, 265,897.44 and 71,990.88 is: 108,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,200.16 : 265,897.44 = 71,990.88 : x
  2. Step 2: Convert to fraction form
    177,200.16/265,897.44 = 71,990.88/x
  3. Step 3: Cross multiply
    177,200.16x = 265,897.44 × 71,990.88
  4. Step 4: Simplify right side
    177,200.16x = 19,142,190,695.35
  5. Step 5: Solve for x
    x = 19,142,190,695.35/177,200.16
  6. Step 6: Final answer
    x = 108,025.81

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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.