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Finding the Fourth Proportional to 83,205.65, 114,907.68 and 53,004.60

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Solution

The fourth proportional to 83,205.65, 114,907.68 and 53,004.60 is: 73,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.65 : 114,907.68 = 53,004.60 : x
  2. Step 2: Convert to fraction form
    83,205.65/114,907.68 = 53,004.60/x
  3. Step 3: Cross multiply
    83,205.65x = 114,907.68 × 53,004.60
  4. Step 4: Simplify right side
    83,205.65x = 6,090,635,615.33
  5. Step 5: Solve for x
    x = 6,090,635,615.33/83,205.65
  6. Step 6: Final answer
    x = 73,199.78

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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.