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Finding the Fourth Proportional to 133,384.56, 199,224.96 and 120,714.90

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Solution

The fourth proportional to 133,384.56, 199,224.96 and 120,714.90 is: 180,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384.56 : 199,224.96 = 120,714.90 : x
  2. Step 2: Convert to fraction form
    133,384.56/199,224.96 = 120,714.90/x
  3. Step 3: Cross multiply
    133,384.56x = 199,224.96 × 120,714.90
  4. Step 4: Simplify right side
    133,384.56x = 24,049,421,123.90
  5. Step 5: Solve for x
    x = 24,049,421,123.90/133,384.56
  6. Step 6: Final answer
    x = 180,301.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.