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Finding the Fourth Proportional to 177,107.60, 265,661.40 and 92,835.20

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Solution

The fourth proportional to 177,107.60, 265,661.40 and 92,835.20 is: 139,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,107.60 : 265,661.40 = 92,835.20 : x
  2. Step 2: Convert to fraction form
    177,107.60/265,661.40 = 92,835.20/x
  3. Step 3: Cross multiply
    177,107.60x = 265,661.40 × 92,835.20
  4. Step 4: Simplify right side
    177,107.60x = 24,662,729,201.28
  5. Step 5: Solve for x
    x = 24,662,729,201.28/177,107.60
  6. Step 6: Final answer
    x = 139,252.80

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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.