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Finding the Fourth Proportional to 106,326.80, 159,619.80 and 53,709.20

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Solution

The fourth proportional to 106,326.80, 159,619.80 and 53,709.20 is: 80,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,326.80 : 159,619.80 = 53,709.20 : x
  2. Step 2: Convert to fraction form
    106,326.80/159,619.80 = 53,709.20/x
  3. Step 3: Cross multiply
    106,326.80x = 159,619.80 × 53,709.20
  4. Step 4: Simplify right side
    106,326.80x = 8,573,051,762.16
  5. Step 5: Solve for x
    x = 8,573,051,762.16/106,326.80
  6. Step 6: Final answer
    x = 80,629.27

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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.