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Finding the Fourth Proportional to 210,325.80, 314,874.30 and 188,207.40

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Solution

The fourth proportional to 210,325.80, 314,874.30 and 188,207.40 is: 281,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,325.80 : 314,874.30 = 188,207.40 : x
  2. Step 2: Convert to fraction form
    210,325.80/314,874.30 = 188,207.40/x
  3. Step 3: Cross multiply
    210,325.80x = 314,874.30 × 188,207.40
  4. Step 4: Simplify right side
    210,325.80x = 59,261,673,329.82
  5. Step 5: Solve for x
    x = 59,261,673,329.82/210,325.80
  6. Step 6: Final answer
    x = 281,761.31

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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.