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Finding the Fourth Proportional to 562,091.40, 843,129 and 141,364.44

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Solution

The fourth proportional to 562,091.40, 843,129 and 141,364.44 is: 212,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,091.40 : 843,129 = 141,364.44 : x
  2. Step 2: Convert to fraction form
    562,091.40/843,129 = 141,364.44/x
  3. Step 3: Cross multiply
    562,091.40x = 843,129 × 141,364.44
  4. Step 4: Simplify right side
    562,091.40x = 119,188,458,932.76
  5. Step 5: Solve for x
    x = 119,188,458,932.76/562,091.40
  6. Step 6: Final answer
    x = 212,044.62

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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.