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Finding the Fourth Proportional to 235,242.84, 352,863.72 and 102,105.84

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Solution

The fourth proportional to 235,242.84, 352,863.72 and 102,105.84 is: 153,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,242.84 : 352,863.72 = 102,105.84 : x
  2. Step 2: Convert to fraction form
    235,242.84/352,863.72 = 102,105.84/x
  3. Step 3: Cross multiply
    235,242.84x = 352,863.72 × 102,105.84
  4. Step 4: Simplify right side
    235,242.84x = 36,029,446,536.12
  5. Step 5: Solve for x
    x = 36,029,446,536.12/235,242.84
  6. Step 6: Final answer
    x = 153,158.53

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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.