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Finding the Fourth Proportional to 101,945.48, 152,644.14 and 83,147.96

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Solution

The fourth proportional to 101,945.48, 152,644.14 and 83,147.96 is: 124,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,945.48 : 152,644.14 = 83,147.96 : x
  2. Step 2: Convert to fraction form
    101,945.48/152,644.14 = 83,147.96/x
  3. Step 3: Cross multiply
    101,945.48x = 152,644.14 × 83,147.96
  4. Step 4: Simplify right side
    101,945.48x = 12,692,048,846.95
  5. Step 5: Solve for x
    x = 12,692,048,846.95/101,945.48
  6. Step 6: Final answer
    x = 124,498.40

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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.