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Finding the Fourth Proportional to 106,231.62, 159,445.98 and 53,678.01

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Solution

The fourth proportional to 106,231.62, 159,445.98 and 53,678.01 is: 80,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,231.62 : 159,445.98 = 53,678.01 : x
  2. Step 2: Convert to fraction form
    106,231.62/159,445.98 = 53,678.01/x
  3. Step 3: Cross multiply
    106,231.62x = 159,445.98 × 53,678.01
  4. Step 4: Simplify right side
    106,231.62x = 8,558,742,908.90
  5. Step 5: Solve for x
    x = 8,558,742,908.90/106,231.62
  6. Step 6: Final answer
    x = 80,566.81

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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.