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Finding the Fourth Proportional to 363,117.90, 501,095.50 and 201,969.48

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Solution

The fourth proportional to 363,117.90, 501,095.50 and 201,969.48 is: 278,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,117.90 : 501,095.50 = 201,969.48 : x
  2. Step 2: Convert to fraction form
    363,117.90/501,095.50 = 201,969.48/x
  3. Step 3: Cross multiply
    363,117.90x = 501,095.50 × 201,969.48
  4. Step 4: Simplify right side
    363,117.90x = 101,205,997,565.34
  5. Step 5: Solve for x
    x = 101,205,997,565.34/363,117.90
  6. Step 6: Final answer
    x = 278,713.88

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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.