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Finding the Fourth Proportional to 119,934.88, 180,051.36 and 77,676.64

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Solution

The fourth proportional to 119,934.88, 180,051.36 and 77,676.64 is: 116,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,934.88 : 180,051.36 = 77,676.64 : x
  2. Step 2: Convert to fraction form
    119,934.88/180,051.36 = 77,676.64/x
  3. Step 3: Cross multiply
    119,934.88x = 180,051.36 × 77,676.64
  4. Step 4: Simplify right side
    119,934.88x = 13,985,784,672.23
  5. Step 5: Solve for x
    x = 13,985,784,672.23/119,934.88
  6. Step 6: Final answer
    x = 116,611.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.