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Finding the Fourth Proportional to 105,496.20, 145,652.67 and 94,146.21

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Solution

The fourth proportional to 105,496.20, 145,652.67 and 94,146.21 is: 129,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,496.20 : 145,652.67 = 94,146.21 : x
  2. Step 2: Convert to fraction form
    105,496.20/145,652.67 = 94,146.21/x
  3. Step 3: Cross multiply
    105,496.20x = 145,652.67 × 94,146.21
  4. Step 4: Simplify right side
    105,496.20x = 13,712,646,856.88
  5. Step 5: Solve for x
    x = 13,712,646,856.88/105,496.20
  6. Step 6: Final answer
    x = 129,982.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.