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Finding the Fourth Proportional to 363,113.90, 501,089.98 and 201,965.48

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Solution

The fourth proportional to 363,113.90, 501,089.98 and 201,965.48 is: 278,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,113.90 : 501,089.98 = 201,965.48 : x
  2. Step 2: Convert to fraction form
    363,113.90/501,089.98 = 201,965.48/x
  3. Step 3: Cross multiply
    363,113.90x = 501,089.98 × 201,965.48
  4. Step 4: Simplify right side
    363,113.90x = 101,202,878,333.89
  5. Step 5: Solve for x
    x = 101,202,878,333.89/363,113.90
  6. Step 6: Final answer
    x = 278,708.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.