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Finding the Fourth Proportional to 142,254.48, 196,316.76 and 81,825

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Solution

The fourth proportional to 142,254.48, 196,316.76 and 81,825 is: 112,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,254.48 : 196,316.76 = 81,825 : x
  2. Step 2: Convert to fraction form
    142,254.48/196,316.76 = 81,825/x
  3. Step 3: Cross multiply
    142,254.48x = 196,316.76 × 81,825
  4. Step 4: Simplify right side
    142,254.48x = 16,063,618,887
  5. Step 5: Solve for x
    x = 16,063,618,887/142,254.48
  6. Step 6: Final answer
    x = 112,921.71

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