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Finding the Fourth Proportional to 151,457.40, 209,002.68 and 83,474.17

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Solution

The fourth proportional to 151,457.40, 209,002.68 and 83,474.17 is: 115,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,457.40 : 209,002.68 = 83,474.17 : x
  2. Step 2: Convert to fraction form
    151,457.40/209,002.68 = 83,474.17/x
  3. Step 3: Cross multiply
    151,457.40x = 209,002.68 × 83,474.17
  4. Step 4: Simplify right side
    151,457.40x = 17,446,324,195.76
  5. Step 5: Solve for x
    x = 17,446,324,195.76/151,457.40
  6. Step 6: Final answer
    x = 115,189.65

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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.