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Finding the Fourth Proportional to 153,858.53, 230,701.23 and 105,883.49

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Solution

The fourth proportional to 153,858.53, 230,701.23 and 105,883.49 is: 158,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,858.53 : 230,701.23 = 105,883.49 : x
  2. Step 2: Convert to fraction form
    153,858.53/230,701.23 = 105,883.49/x
  3. Step 3: Cross multiply
    153,858.53x = 230,701.23 × 105,883.49
  4. Step 4: Simplify right side
    153,858.53x = 24,427,451,956.45
  5. Step 5: Solve for x
    x = 24,427,451,956.45/153,858.53
  6. Step 6: Final answer
    x = 158,765.66

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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.