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Finding the Fourth Proportional to 153,450, 230,158.58 and 41,141.48

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Solution

The fourth proportional to 153,450, 230,158.58 and 41,141.48 is: 61,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,450 : 230,158.58 = 41,141.48 : x
  2. Step 2: Convert to fraction form
    153,450/230,158.58 = 41,141.48/x
  3. Step 3: Cross multiply
    153,450x = 230,158.58 × 41,141.48
  4. Step 4: Simplify right side
    153,450x = 9,469,064,615.90
  5. Step 5: Solve for x
    x = 9,469,064,615.90/153,450
  6. Step 6: Final answer
    x = 61,707.82

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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.