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Finding the Fourth Proportional to 120,215.09, 180,339.04 and 50,078

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Solution

The fourth proportional to 120,215.09, 180,339.04 and 50,078 is: 75,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,215.09 : 180,339.04 = 50,078 : x
  2. Step 2: Convert to fraction form
    120,215.09/180,339.04 = 50,078/x
  3. Step 3: Cross multiply
    120,215.09x = 180,339.04 × 50,078
  4. Step 4: Simplify right side
    120,215.09x = 9,031,018,445.12
  5. Step 5: Solve for x
    x = 9,031,018,445.12/120,215.09
  6. Step 6: Final answer
    x = 75,123.83

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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.