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Finding the Fourth Proportional to 153,786.76, 230,659.87 and 45,713.83

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Solution

The fourth proportional to 153,786.76, 230,659.87 and 45,713.83 is: 68,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,786.76 : 230,659.87 = 45,713.83 : x
  2. Step 2: Convert to fraction form
    153,786.76/230,659.87 = 45,713.83/x
  3. Step 3: Cross multiply
    153,786.76x = 230,659.87 × 45,713.83
  4. Step 4: Simplify right side
    153,786.76x = 10,544,346,085.00
  5. Step 5: Solve for x
    x = 10,544,346,085.00/153,786.76
  6. Step 6: Final answer
    x = 68,564.72

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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.