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Finding the Fourth Proportional to 299,193.14, 412,830.02 and 178,345.65

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Solution

The fourth proportional to 299,193.14, 412,830.02 and 178,345.65 is: 246,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,193.14 : 412,830.02 = 178,345.65 : x
  2. Step 2: Convert to fraction form
    299,193.14/412,830.02 = 178,345.65/x
  3. Step 3: Cross multiply
    299,193.14x = 412,830.02 × 178,345.65
  4. Step 4: Simplify right side
    299,193.14x = 73,626,436,925.03
  5. Step 5: Solve for x
    x = 73,626,436,925.03/299,193.14
  6. Step 6: Final answer
    x = 246,083.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.