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Finding the Fourth Proportional to 133,892.22, 200,712.05 and 45,083.63

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Solution

The fourth proportional to 133,892.22, 200,712.05 and 45,083.63 is: 67,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,892.22 : 200,712.05 = 45,083.63 : x
  2. Step 2: Convert to fraction form
    133,892.22/200,712.05 = 45,083.63/x
  3. Step 3: Cross multiply
    133,892.22x = 200,712.05 × 45,083.63
  4. Step 4: Simplify right side
    133,892.22x = 9,048,826,569.76
  5. Step 5: Solve for x
    x = 9,048,826,569.76/133,892.22
  6. Step 6: Final answer
    x = 67,582.92

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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.