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Finding the Fourth Proportional to 235,270.56, 352,707.38 and 102,050.46

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Solution

The fourth proportional to 235,270.56, 352,707.38 and 102,050.46 is: 152,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,270.56 : 352,707.38 = 102,050.46 : x
  2. Step 2: Convert to fraction form
    235,270.56/352,707.38 = 102,050.46/x
  3. Step 3: Cross multiply
    235,270.56x = 352,707.38 × 102,050.46
  4. Step 4: Simplify right side
    235,270.56x = 35,993,950,374.39
  5. Step 5: Solve for x
    x = 35,993,950,374.39/235,270.56
  6. Step 6: Final answer
    x = 152,989.61

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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.