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Finding the Fourth Proportional to 200,694, 301,061.16 and 52,950

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Solution

The fourth proportional to 200,694, 301,061.16 and 52,950 is: 79,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,694 : 301,061.16 = 52,950 : x
  2. Step 2: Convert to fraction form
    200,694/301,061.16 = 52,950/x
  3. Step 3: Cross multiply
    200,694x = 301,061.16 × 52,950
  4. Step 4: Simplify right side
    200,694x = 15,941,188,422.00
  5. Step 5: Solve for x
    x = 15,941,188,422.00/200,694
  6. Step 6: Final answer
    x = 79,430.32

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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.