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Finding the Fourth Proportional to 240,902.34, 361,241.32 and 107,783.70

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Solution

The fourth proportional to 240,902.34, 361,241.32 and 107,783.70 is: 161,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,902.34 : 361,241.32 = 107,783.70 : x
  2. Step 2: Convert to fraction form
    240,902.34/361,241.32 = 107,783.70/x
  3. Step 3: Cross multiply
    240,902.34x = 361,241.32 × 107,783.70
  4. Step 4: Simplify right side
    240,902.34x = 38,935,924,640.46
  5. Step 5: Solve for x
    x = 38,935,924,640.46/240,902.34
  6. Step 6: Final answer
    x = 161,625.35

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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.