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Finding the Fourth Proportional to 193,673.15, 290,526.46 and 53,431.77

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Solution

The fourth proportional to 193,673.15, 290,526.46 and 53,431.77 is: 80,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,673.15 : 290,526.46 = 53,431.77 : x
  2. Step 2: Convert to fraction form
    193,673.15/290,526.46 = 53,431.77/x
  3. Step 3: Cross multiply
    193,673.15x = 290,526.46 × 53,431.77
  4. Step 4: Simplify right side
    193,673.15x = 15,523,342,722.48
  5. Step 5: Solve for x
    x = 15,523,342,722.48/193,673.15
  6. Step 6: Final answer
    x = 80,152.27

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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.