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Finding the Fourth Proportional to 357,242.82, 535,911.78 and 188,770.04

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Solution

The fourth proportional to 357,242.82, 535,911.78 and 188,770.04 is: 283,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,242.82 : 535,911.78 = 188,770.04 : x
  2. Step 2: Convert to fraction form
    357,242.82/535,911.78 = 188,770.04/x
  3. Step 3: Cross multiply
    357,242.82x = 535,911.78 × 188,770.04
  4. Step 4: Simplify right side
    357,242.82x = 101,164,088,147.07
  5. Step 5: Solve for x
    x = 101,164,088,147.07/357,242.82
  6. Step 6: Final answer
    x = 283,180.19

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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.