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Finding the Fourth Proportional to 235,390.92, 352,887.30 and 102,171.06

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Solution

The fourth proportional to 235,390.92, 352,887.30 and 102,171.06 is: 153,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,390.92 : 352,887.30 = 102,171.06 : x
  2. Step 2: Convert to fraction form
    235,390.92/352,887.30 = 102,171.06/x
  3. Step 3: Cross multiply
    235,390.92x = 352,887.30 × 102,171.06
  4. Step 4: Simplify right side
    235,390.92x = 36,054,869,501.54
  5. Step 5: Solve for x
    x = 36,054,869,501.54/235,390.92
  6. Step 6: Final answer
    x = 153,170.18

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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.