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Finding the Fourth Proportional to 145,414.92, 218,122.44 and 45,582.96

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Solution

The fourth proportional to 145,414.92, 218,122.44 and 45,582.96 is: 68,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,414.92 : 218,122.44 = 45,582.96 : x
  2. Step 2: Convert to fraction form
    145,414.92/218,122.44 = 45,582.96/x
  3. Step 3: Cross multiply
    145,414.92x = 218,122.44 × 45,582.96
  4. Step 4: Simplify right side
    145,414.92x = 9,942,666,457.62
  5. Step 5: Solve for x
    x = 9,942,666,457.62/145,414.92
  6. Step 6: Final answer
    x = 68,374.46

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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.