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Finding the Fourth Proportional to 188,506.32, 282,960.90 and 76,259.90

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Solution

The fourth proportional to 188,506.32, 282,960.90 and 76,259.90 is: 114,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,506.32 : 282,960.90 = 76,259.90 : x
  2. Step 2: Convert to fraction form
    188,506.32/282,960.90 = 76,259.90/x
  3. Step 3: Cross multiply
    188,506.32x = 282,960.90 × 76,259.90
  4. Step 4: Simplify right side
    188,506.32x = 21,578,569,937.91
  5. Step 5: Solve for x
    x = 21,578,569,937.91/188,506.32
  6. Step 6: Final answer
    x = 114,471.33

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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.