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Finding the Fourth Proportional to 151,494.54, 209,053.07 and 83,508

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Solution

The fourth proportional to 151,494.54, 209,053.07 and 83,508 is: 115,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,494.54 : 209,053.07 = 83,508 : x
  2. Step 2: Convert to fraction form
    151,494.54/209,053.07 = 83,508/x
  3. Step 3: Cross multiply
    151,494.54x = 209,053.07 × 83,508
  4. Step 4: Simplify right side
    151,494.54x = 17,457,603,352.02
  5. Step 5: Solve for x
    x = 17,457,603,352.02/151,494.54
  6. Step 6: Final answer
    x = 115,235.86

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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.