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Finding the Fourth Proportional to 235,501.70, 352,734.15 and 164,999.30

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Solution

The fourth proportional to 235,501.70, 352,734.15 and 164,999.30 is: 247,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,501.70 : 352,734.15 = 164,999.30 : x
  2. Step 2: Convert to fraction form
    235,501.70/352,734.15 = 164,999.30/x
  3. Step 3: Cross multiply
    235,501.70x = 352,734.15 × 164,999.30
  4. Step 4: Simplify right side
    235,501.70x = 58,200,887,836.10
  5. Step 5: Solve for x
    x = 58,200,887,836.10/235,501.70
  6. Step 6: Final answer
    x = 247,135.74

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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.