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Finding the Fourth Proportional to 120,603.54, 180,767.40 and 57,333.90

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Solution

The fourth proportional to 120,603.54, 180,767.40 and 57,333.90 is: 85,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,603.54 : 180,767.40 = 57,333.90 : x
  2. Step 2: Convert to fraction form
    120,603.54/180,767.40 = 57,333.90/x
  3. Step 3: Cross multiply
    120,603.54x = 180,767.40 × 57,333.90
  4. Step 4: Simplify right side
    120,603.54x = 10,364,100,034.86
  5. Step 5: Solve for x
    x = 10,364,100,034.86/120,603.54
  6. Step 6: Final answer
    x = 85,935.29

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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.