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Finding the Fourth Proportional to 151,493.28, 209,051.34 and 83,506.74

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Solution

The fourth proportional to 151,493.28, 209,051.34 and 83,506.74 is: 115,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,493.28 : 209,051.34 = 83,506.74 : x
  2. Step 2: Convert to fraction form
    151,493.28/209,051.34 = 83,506.74/x
  3. Step 3: Cross multiply
    151,493.28x = 209,051.34 × 83,506.74
  4. Step 4: Simplify right side
    151,493.28x = 17,457,195,896.03
  5. Step 5: Solve for x
    x = 17,457,195,896.03/151,493.28
  6. Step 6: Final answer
    x = 115,234.13

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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.