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Finding the Fourth Proportional to 188,768.48, 283,068 and 55,602.08

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Solution

The fourth proportional to 188,768.48, 283,068 and 55,602.08 is: 83,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,768.48 : 283,068 = 55,602.08 : x
  2. Step 2: Convert to fraction form
    188,768.48/283,068 = 55,602.08/x
  3. Step 3: Cross multiply
    188,768.48x = 283,068 × 55,602.08
  4. Step 4: Simplify right side
    188,768.48x = 15,739,169,581.44
  5. Step 5: Solve for x
    x = 15,739,169,581.44/188,768.48
  6. Step 6: Final answer
    x = 83,378.17

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Why These Related Problems?

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