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Finding the Fourth Proportional to 161,659.94, 223,051.38 and 106,463.56

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Solution

The fourth proportional to 161,659.94, 223,051.38 and 106,463.56 is: 146,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,659.94 : 223,051.38 = 106,463.56 : x
  2. Step 2: Convert to fraction form
    161,659.94/223,051.38 = 106,463.56/x
  3. Step 3: Cross multiply
    161,659.94x = 223,051.38 × 106,463.56
  4. Step 4: Simplify right side
    161,659.94x = 23,746,843,445.40
  5. Step 5: Solve for x
    x = 23,746,843,445.40/161,659.94
  6. Step 6: Final answer
    x = 146,893.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.