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Finding the Fourth Proportional to 273,210.90, 409,717.92 and 115,451.70

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Solution

The fourth proportional to 273,210.90, 409,717.92 and 115,451.70 is: 173,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,210.90 : 409,717.92 = 115,451.70 : x
  2. Step 2: Convert to fraction form
    273,210.90/409,717.92 = 115,451.70/x
  3. Step 3: Cross multiply
    273,210.90x = 409,717.92 × 115,451.70
  4. Step 4: Simplify right side
    273,210.90x = 47,302,630,384.46
  5. Step 5: Solve for x
    x = 47,302,630,384.46/273,210.90
  6. Step 6: Final answer
    x = 173,135.96

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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.