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Finding the Fourth Proportional to 209,753.46, 314,463.87 and 109,894.50

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Solution

The fourth proportional to 209,753.46, 314,463.87 and 109,894.50 is: 164,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,753.46 : 314,463.87 = 109,894.50 : x
  2. Step 2: Convert to fraction form
    209,753.46/314,463.87 = 109,894.50/x
  3. Step 3: Cross multiply
    209,753.46x = 314,463.87 × 109,894.50
  4. Step 4: Simplify right side
    209,753.46x = 34,557,849,761.72
  5. Step 5: Solve for x
    x = 34,557,849,761.72/209,753.46
  6. Step 6: Final answer
    x = 164,754.61

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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.