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Finding the Fourth Proportional to 101,945.70, 152,918.55 and 97,863.30

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Solution

The fourth proportional to 101,945.70, 152,918.55 and 97,863.30 is: 146,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,945.70 : 152,918.55 = 97,863.30 : x
  2. Step 2: Convert to fraction form
    101,945.70/152,918.55 = 97,863.30/x
  3. Step 3: Cross multiply
    101,945.70x = 152,918.55 × 97,863.30
  4. Step 4: Simplify right side
    101,945.70x = 14,965,113,934.22
  5. Step 5: Solve for x
    x = 14,965,113,934.22/101,945.70
  6. Step 6: Final answer
    x = 146,794.95

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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.