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Finding the Fourth Proportional to 102,158.44, 153,199.74 and 35,581.48

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Solution

The fourth proportional to 102,158.44, 153,199.74 and 35,581.48 is: 53,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,158.44 : 153,199.74 = 35,581.48 : x
  2. Step 2: Convert to fraction form
    102,158.44/153,199.74 = 35,581.48/x
  3. Step 3: Cross multiply
    102,158.44x = 153,199.74 × 35,581.48
  4. Step 4: Simplify right side
    102,158.44x = 5,451,073,484.82
  5. Step 5: Solve for x
    x = 5,451,073,484.82/102,158.44
  6. Step 6: Final answer
    x = 53,359.01

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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.