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Finding the Fourth Proportional to 192,802.96, 289,146.12 and 113,896

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Solution

The fourth proportional to 192,802.96, 289,146.12 and 113,896 is: 170,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,802.96 : 289,146.12 = 113,896 : x
  2. Step 2: Convert to fraction form
    192,802.96/289,146.12 = 113,896/x
  3. Step 3: Cross multiply
    192,802.96x = 289,146.12 × 113,896
  4. Step 4: Simplify right side
    192,802.96x = 32,932,586,483.52
  5. Step 5: Solve for x
    x = 32,932,586,483.52/192,802.96
  6. Step 6: Final answer
    x = 170,809.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.