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Finding the Fourth Proportional to 114,346.84, 157,853.50 and 80,384.44

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Solution

The fourth proportional to 114,346.84, 157,853.50 and 80,384.44 is: 110,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,346.84 : 157,853.50 = 80,384.44 : x
  2. Step 2: Convert to fraction form
    114,346.84/157,853.50 = 80,384.44/x
  3. Step 3: Cross multiply
    114,346.84x = 157,853.50 × 80,384.44
  4. Step 4: Simplify right side
    114,346.84x = 12,688,965,199.54
  5. Step 5: Solve for x
    x = 12,688,965,199.54/114,346.84
  6. Step 6: Final answer
    x = 110,969.09

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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.