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Finding the Fourth Proportional to 151,806, 209,492.40 and 84,738

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Solution

The fourth proportional to 151,806, 209,492.40 and 84,738 is: 116,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,806 : 209,492.40 = 84,738 : x
  2. Step 2: Convert to fraction form
    151,806/209,492.40 = 84,738/x
  3. Step 3: Cross multiply
    151,806x = 209,492.40 × 84,738
  4. Step 4: Simplify right side
    151,806x = 17,751,966,991.20
  5. Step 5: Solve for x
    x = 17,751,966,991.20/151,806
  6. Step 6: Final answer
    x = 116,938.51

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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.