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Finding the Fourth Proportional to 235,232.34, 352,847.97 and 102,095.34

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Solution

The fourth proportional to 235,232.34, 352,847.97 and 102,095.34 is: 153,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,232.34 : 352,847.97 = 102,095.34 : x
  2. Step 2: Convert to fraction form
    235,232.34/352,847.97 = 102,095.34/x
  3. Step 3: Cross multiply
    235,232.34x = 352,847.97 × 102,095.34
  4. Step 4: Simplify right side
    235,232.34x = 36,024,133,465.46
  5. Step 5: Solve for x
    x = 36,024,133,465.46/235,232.34
  6. Step 6: Final answer
    x = 153,142.78

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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.