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Finding the Fourth Proportional to 103,142.30, 154,389.92 and 70,933.46

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Solution

The fourth proportional to 103,142.30, 154,389.92 and 70,933.46 is: 106,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,142.30 : 154,389.92 = 70,933.46 : x
  2. Step 2: Convert to fraction form
    103,142.30/154,389.92 = 70,933.46/x
  3. Step 3: Cross multiply
    103,142.30x = 154,389.92 × 70,933.46
  4. Step 4: Simplify right side
    103,142.30x = 10,951,410,088.11
  5. Step 5: Solve for x
    x = 10,951,410,088.11/103,142.30
  6. Step 6: Final answer
    x = 106,177.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.