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Finding the Fourth Proportional to 97,415.73, 146,131.88 and 34,230.40

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Solution

The fourth proportional to 97,415.73, 146,131.88 and 34,230.40 is: 51,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,415.73 : 146,131.88 = 34,230.40 : x
  2. Step 2: Convert to fraction form
    97,415.73/146,131.88 = 34,230.40/x
  3. Step 3: Cross multiply
    97,415.73x = 146,131.88 × 34,230.40
  4. Step 4: Simplify right side
    97,415.73x = 5,002,152,425.40
  5. Step 5: Solve for x
    x = 5,002,152,425.40/97,415.73
  6. Step 6: Final answer
    x = 51,348.51

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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.