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Finding the Fourth Proportional to 363,116.90, 501,094.12 and 201,968.48

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Solution

The fourth proportional to 363,116.90, 501,094.12 and 201,968.48 is: 278,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,116.90 : 501,094.12 = 201,968.48 : x
  2. Step 2: Convert to fraction form
    363,116.90/501,094.12 = 201,968.48/x
  3. Step 3: Cross multiply
    363,116.90x = 501,094.12 × 201,968.48
  4. Step 4: Simplify right side
    363,116.90x = 101,205,217,753.34
  5. Step 5: Solve for x
    x = 101,205,217,753.34/363,116.90
  6. Step 6: Final answer
    x = 278,712.50

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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.