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Finding the Fourth Proportional to 333,101.76, 459,729 and 189,876.48

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Solution

The fourth proportional to 333,101.76, 459,729 and 189,876.48 is: 262,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,101.76 : 459,729 = 189,876.48 : x
  2. Step 2: Convert to fraction form
    333,101.76/459,729 = 189,876.48/x
  3. Step 3: Cross multiply
    333,101.76x = 459,729 × 189,876.48
  4. Step 4: Simplify right side
    333,101.76x = 87,291,724,273.92
  5. Step 5: Solve for x
    x = 87,291,724,273.92/333,101.76
  6. Step 6: Final answer
    x = 262,057.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.