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Finding the Fourth Proportional to 105,410.70, 158,202.45 and 101,954.70

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Solution

The fourth proportional to 105,410.70, 158,202.45 and 101,954.70 is: 153,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410.70 : 158,202.45 = 101,954.70 : x
  2. Step 2: Convert to fraction form
    105,410.70/158,202.45 = 101,954.70/x
  3. Step 3: Cross multiply
    105,410.70x = 158,202.45 × 101,954.70
  4. Step 4: Simplify right side
    105,410.70x = 16,129,483,329.02
  5. Step 5: Solve for x
    x = 16,129,483,329.02/105,410.70
  6. Step 6: Final answer
    x = 153,015.62

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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.