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Finding the Fourth Proportional to 152,104.56, 228,156.84 and 41,296.56

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Solution

The fourth proportional to 152,104.56, 228,156.84 and 41,296.56 is: 61,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,104.56 : 228,156.84 = 41,296.56 : x
  2. Step 2: Convert to fraction form
    152,104.56/228,156.84 = 41,296.56/x
  3. Step 3: Cross multiply
    152,104.56x = 228,156.84 × 41,296.56
  4. Step 4: Simplify right side
    152,104.56x = 9,422,092,632.47
  5. Step 5: Solve for x
    x = 9,422,092,632.47/152,104.56
  6. Step 6: Final answer
    x = 61,944.84

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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.