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Finding the Fourth Proportional to 234,977.40, 352,386.96 and 85,186.32

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Solution

The fourth proportional to 234,977.40, 352,386.96 and 85,186.32 is: 127,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,977.40 : 352,386.96 = 85,186.32 : x
  2. Step 2: Convert to fraction form
    234,977.40/352,386.96 = 85,186.32/x
  3. Step 3: Cross multiply
    234,977.40x = 352,386.96 × 85,186.32
  4. Step 4: Simplify right side
    234,977.40x = 30,018,548,338.39
  5. Step 5: Solve for x
    x = 30,018,548,338.39/234,977.40
  6. Step 6: Final answer
    x = 127,750.79

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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.