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Finding the Fourth Proportional to 235,279.46, 352,918.35 and 102,142.34

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Solution

The fourth proportional to 235,279.46, 352,918.35 and 102,142.34 is: 153,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,279.46 : 352,918.35 = 102,142.34 : x
  2. Step 2: Convert to fraction form
    235,279.46/352,918.35 = 102,142.34/x
  3. Step 3: Cross multiply
    235,279.46x = 352,918.35 × 102,142.34
  4. Step 4: Simplify right side
    235,279.46x = 36,047,906,097.94
  5. Step 5: Solve for x
    x = 36,047,906,097.94/235,279.46
  6. Step 6: Final answer
    x = 153,213.15

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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.