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Finding the Fourth Proportional to 106,232.80, 159,349.20 and 73,055.20

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Solution

The fourth proportional to 106,232.80, 159,349.20 and 73,055.20 is: 109,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,232.80 : 159,349.20 = 73,055.20 : x
  2. Step 2: Convert to fraction form
    106,232.80/159,349.20 = 73,055.20/x
  3. Step 3: Cross multiply
    106,232.80x = 159,349.20 × 73,055.20
  4. Step 4: Simplify right side
    106,232.80x = 11,641,287,675.84
  5. Step 5: Solve for x
    x = 11,641,287,675.84/106,232.80
  6. Step 6: Final answer
    x = 109,582.80

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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.