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Finding the Fourth Proportional to 151,972, 209,721.44 and 84,904

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Solution

The fourth proportional to 151,972, 209,721.44 and 84,904 is: 117,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,972 : 209,721.44 = 84,904 : x
  2. Step 2: Convert to fraction form
    151,972/209,721.44 = 84,904/x
  3. Step 3: Cross multiply
    151,972x = 209,721.44 × 84,904
  4. Step 4: Simplify right side
    151,972x = 17,806,189,141.76
  5. Step 5: Solve for x
    x = 17,806,189,141.76/151,972
  6. Step 6: Final answer
    x = 117,167.56

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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.