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Finding the Fourth Proportional to 357,171.11, 535,695 and 101,021.57

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Solution

The fourth proportional to 357,171.11, 535,695 and 101,021.57 is: 151,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,171.11 : 535,695 = 101,021.57 : x
  2. Step 2: Convert to fraction form
    357,171.11/535,695 = 101,021.57/x
  3. Step 3: Cross multiply
    357,171.11x = 535,695 × 101,021.57
  4. Step 4: Simplify right side
    357,171.11x = 54,116,749,941.15
  5. Step 5: Solve for x
    x = 54,116,749,941.15/357,171.11
  6. Step 6: Final answer
    x = 151,514.91

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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.