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Finding the Fourth Proportional to 188,574.08, 282,916.40 and 76,196.30

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Solution

The fourth proportional to 188,574.08, 282,916.40 and 76,196.30 is: 114,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,574.08 : 282,916.40 = 76,196.30 : x
  2. Step 2: Convert to fraction form
    188,574.08/282,916.40 = 76,196.30/x
  3. Step 3: Cross multiply
    188,574.08x = 282,916.40 × 76,196.30
  4. Step 4: Simplify right side
    188,574.08x = 21,557,181,093.76
  5. Step 5: Solve for x
    x = 21,557,181,093.76/188,574.08
  6. Step 6: Final answer
    x = 114,316.78

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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.