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Finding the Fourth Proportional to 151,789, 209,470.98 and 84,721

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Solution

The fourth proportional to 151,789, 209,470.98 and 84,721 is: 116,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,789 : 209,470.98 = 84,721 : x
  2. Step 2: Convert to fraction form
    151,789/209,470.98 = 84,721/x
  3. Step 3: Cross multiply
    151,789x = 209,470.98 × 84,721
  4. Step 4: Simplify right side
    151,789x = 17,746,590,896.58
  5. Step 5: Solve for x
    x = 17,746,590,896.58/151,789
  6. Step 6: Final answer
    x = 116,916.19

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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.