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Finding the Fourth Proportional to 153,956.70, 230,967.45 and 48,786.30

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Solution

The fourth proportional to 153,956.70, 230,967.45 and 48,786.30 is: 73,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,956.70 : 230,967.45 = 48,786.30 : x
  2. Step 2: Convert to fraction form
    153,956.70/230,967.45 = 48,786.30/x
  3. Step 3: Cross multiply
    153,956.70x = 230,967.45 × 48,786.30
  4. Step 4: Simplify right side
    153,956.70x = 11,268,047,305.94
  5. Step 5: Solve for x
    x = 11,268,047,305.94/153,956.70
  6. Step 6: Final answer
    x = 73,189.72

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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.