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Finding the Fourth Proportional to 410,771.88, 616,151.16 and 158,107.26

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Solution

The fourth proportional to 410,771.88, 616,151.16 and 158,107.26 is: 237,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,771.88 : 616,151.16 = 158,107.26 : x
  2. Step 2: Convert to fraction form
    410,771.88/616,151.16 = 158,107.26/x
  3. Step 3: Cross multiply
    410,771.88x = 616,151.16 × 158,107.26
  4. Step 4: Simplify right side
    410,771.88x = 97,417,971,653.42
  5. Step 5: Solve for x
    x = 97,417,971,653.42/410,771.88
  6. Step 6: Final answer
    x = 237,158.33

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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.