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Finding the Fourth Proportional to 106,484.83, 159,569.46 and 43,228.01

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Solution

The fourth proportional to 106,484.83, 159,569.46 and 43,228.01 is: 64,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,484.83 : 159,569.46 = 43,228.01 : x
  2. Step 2: Convert to fraction form
    106,484.83/159,569.46 = 43,228.01/x
  3. Step 3: Cross multiply
    106,484.83x = 159,569.46 × 43,228.01
  4. Step 4: Simplify right side
    106,484.83x = 6,897,870,611.50
  5. Step 5: Solve for x
    x = 6,897,870,611.50/106,484.83
  6. Step 6: Final answer
    x = 64,777.97

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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.