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Finding the Fourth Proportional to 151,773.75, 209,448.59 and 84,705.75

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Solution

The fourth proportional to 151,773.75, 209,448.59 and 84,705.75 is: 116,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,773.75 : 209,448.59 = 84,705.75 : x
  2. Step 2: Convert to fraction form
    151,773.75/209,448.59 = 84,705.75/x
  3. Step 3: Cross multiply
    151,773.75x = 209,448.59 × 84,705.75
  4. Step 4: Simplify right side
    151,773.75x = 17,741,499,478.86
  5. Step 5: Solve for x
    x = 17,741,499,478.86/151,773.75
  6. Step 6: Final answer
    x = 116,894.39

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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.