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Finding the Fourth Proportional to 188,866.65, 283,233.96 and 55,711.56

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Solution

The fourth proportional to 188,866.65, 283,233.96 and 55,711.56 is: 83,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,866.65 : 283,233.96 = 55,711.56 : x
  2. Step 2: Convert to fraction form
    188,866.65/283,233.96 = 55,711.56/x
  3. Step 3: Cross multiply
    188,866.65x = 283,233.96 × 55,711.56
  4. Step 4: Simplify right side
    188,866.65x = 15,779,405,756.58
  5. Step 5: Solve for x
    x = 15,779,405,756.58/188,866.65
  6. Step 6: Final answer
    x = 83,547.87

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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.