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Finding the Fourth Proportional to 159,633.16, 220,436.16 and 152,071

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Solution

The fourth proportional to 159,633.16, 220,436.16 and 152,071 is: 209,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,633.16 : 220,436.16 = 152,071 : x
  2. Step 2: Convert to fraction form
    159,633.16/220,436.16 = 152,071/x
  3. Step 3: Cross multiply
    159,633.16x = 220,436.16 × 152,071
  4. Step 4: Simplify right side
    159,633.16x = 33,521,947,287.36
  5. Step 5: Solve for x
    x = 33,521,947,287.36/159,633.16
  6. Step 6: Final answer
    x = 209,993.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.