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Finding the Fourth Proportional to 225,649.19, 311,385.06 and 130,186.64

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Solution

The fourth proportional to 225,649.19, 311,385.06 and 130,186.64 is: 179,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,649.19 : 311,385.06 = 130,186.64 : x
  2. Step 2: Convert to fraction form
    225,649.19/311,385.06 = 130,186.64/x
  3. Step 3: Cross multiply
    225,649.19x = 311,385.06 × 130,186.64
  4. Step 4: Simplify right side
    225,649.19x = 40,538,175,486.06
  5. Step 5: Solve for x
    x = 40,538,175,486.06/225,649.19
  6. Step 6: Final answer
    x = 179,651.32

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