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Finding the Fourth Proportional to 151,457.65, 209,003.03 and 83,474.42

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Solution

The fourth proportional to 151,457.65, 209,003.03 and 83,474.42 is: 115,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,457.65 : 209,003.03 = 83,474.42 : x
  2. Step 2: Convert to fraction form
    151,457.65/209,003.03 = 83,474.42/x
  3. Step 3: Cross multiply
    151,457.65x = 209,003.03 × 83,474.42
  4. Step 4: Simplify right side
    151,457.65x = 17,446,405,245.11
  5. Step 5: Solve for x
    x = 17,446,405,245.11/151,457.65
  6. Step 6: Final answer
    x = 115,189.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.