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Finding the Fourth Proportional to 97,304.88, 146,014.96 and 41,141.90

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Solution

The fourth proportional to 97,304.88, 146,014.96 and 41,141.90 is: 61,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,304.88 : 146,014.96 = 41,141.90 : x
  2. Step 2: Convert to fraction form
    97,304.88/146,014.96 = 41,141.90/x
  3. Step 3: Cross multiply
    97,304.88x = 146,014.96 × 41,141.90
  4. Step 4: Simplify right side
    97,304.88x = 6,007,332,882.82
  5. Step 5: Solve for x
    x = 6,007,332,882.82/97,304.88
  6. Step 6: Final answer
    x = 61,737.22

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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.