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Finding the Fourth Proportional to 151,783, 209,460.54 and 84,715

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Solution

The fourth proportional to 151,783, 209,460.54 and 84,715 is: 116,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,783 : 209,460.54 = 84,715 : x
  2. Step 2: Convert to fraction form
    151,783/209,460.54 = 84,715/x
  3. Step 3: Cross multiply
    151,783x = 209,460.54 × 84,715
  4. Step 4: Simplify right side
    151,783x = 17,744,449,646.10
  5. Step 5: Solve for x
    x = 17,744,449,646.10/151,783
  6. Step 6: Final answer
    x = 116,906.70

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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.