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Finding the Fourth Proportional to 242,272.41, 363,466.12 and 76,060.41

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Solution

The fourth proportional to 242,272.41, 363,466.12 and 76,060.41 is: 114,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,272.41 : 363,466.12 = 76,060.41 : x
  2. Step 2: Convert to fraction form
    242,272.41/363,466.12 = 76,060.41/x
  3. Step 3: Cross multiply
    242,272.41x = 363,466.12 × 76,060.41
  4. Step 4: Simplify right side
    242,272.41x = 27,645,382,108.31
  5. Step 5: Solve for x
    x = 27,645,382,108.31/242,272.41
  6. Step 6: Final answer
    x = 114,108.67

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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.