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Finding the Fourth Proportional to 158,732.44, 218,994.78 and 97,457.56

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Solution

The fourth proportional to 158,732.44, 218,994.78 and 97,457.56 is: 134,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,732.44 : 218,994.78 = 97,457.56 : x
  2. Step 2: Convert to fraction form
    158,732.44/218,994.78 = 97,457.56/x
  3. Step 3: Cross multiply
    158,732.44x = 218,994.78 × 97,457.56
  4. Step 4: Simplify right side
    158,732.44x = 21,342,696,911.54
  5. Step 5: Solve for x
    x = 21,342,696,911.54/158,732.44
  6. Step 6: Final answer
    x = 134,457.06

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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.