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Finding the Fourth Proportional to 153,369.16, 230,064.54 and 41,049.16

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Solution

The fourth proportional to 153,369.16, 230,064.54 and 41,049.16 is: 61,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,369.16 : 230,064.54 = 41,049.16 : x
  2. Step 2: Convert to fraction form
    153,369.16/230,064.54 = 41,049.16/x
  3. Step 3: Cross multiply
    153,369.16x = 230,064.54 × 41,049.16
  4. Step 4: Simplify right side
    153,369.16x = 9,443,956,112.79
  5. Step 5: Solve for x
    x = 9,443,956,112.79/153,369.16
  6. Step 6: Final answer
    x = 61,576.63

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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.