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Finding the Fourth Proportional to 177,712.64, 245,245.09 and 101,230.64

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Solution

The fourth proportional to 177,712.64, 245,245.09 and 101,230.64 is: 139,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,712.64 : 245,245.09 = 101,230.64 : x
  2. Step 2: Convert to fraction form
    177,712.64/245,245.09 = 101,230.64/x
  3. Step 3: Cross multiply
    177,712.64x = 245,245.09 × 101,230.64
  4. Step 4: Simplify right side
    177,712.64x = 24,826,317,417.56
  5. Step 5: Solve for x
    x = 24,826,317,417.56/177,712.64
  6. Step 6: Final answer
    x = 139,699.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.