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Finding the Fourth Proportional to 402,025.24, 603,054.24 and 102,513.57

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Solution

The fourth proportional to 402,025.24, 603,054.24 and 102,513.57 is: 153,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,025.24 : 603,054.24 = 102,513.57 : x
  2. Step 2: Convert to fraction form
    402,025.24/603,054.24 = 102,513.57/x
  3. Step 3: Cross multiply
    402,025.24x = 603,054.24 × 102,513.57
  4. Step 4: Simplify right side
    402,025.24x = 61,821,245,776.75
  5. Step 5: Solve for x
    x = 61,821,245,776.75/402,025.24
  6. Step 6: Final answer
    x = 153,774.54

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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.