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Finding the Fourth Proportional to 102,193.92, 154,250.70 and 102,193.92

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Solution

The fourth proportional to 102,193.92, 154,250.70 and 102,193.92 is: 154,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,193.92 : 154,250.70 = 102,193.92 : x
  2. Step 2: Convert to fraction form
    102,193.92/154,250.70 = 102,193.92/x
  3. Step 3: Cross multiply
    102,193.92x = 154,250.70 × 102,193.92
  4. Step 4: Simplify right side
    102,193.92x = 15,763,483,695.74
  5. Step 5: Solve for x
    x = 15,763,483,695.74/102,193.92
  6. Step 6: Final answer
    x = 154,250.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.