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Finding the Fourth Proportional to 142,897.92, 197,154.24 and 82,460.63

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Solution

The fourth proportional to 142,897.92, 197,154.24 and 82,460.63 is: 113,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,897.92 : 197,154.24 = 82,460.63 : x
  2. Step 2: Convert to fraction form
    142,897.92/197,154.24 = 82,460.63/x
  3. Step 3: Cross multiply
    142,897.92x = 197,154.24 × 82,460.63
  4. Step 4: Simplify right side
    142,897.92x = 16,257,461,851.80
  5. Step 5: Solve for x
    x = 16,257,461,851.80/142,897.92
  6. Step 6: Final answer
    x = 113,769.76

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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.