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Finding the Fourth Proportional to 200,492.14, 300,805.34 and 65,562.43

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Solution

The fourth proportional to 200,492.14, 300,805.34 and 65,562.43 is: 98,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,492.14 : 300,805.34 = 65,562.43 : x
  2. Step 2: Convert to fraction form
    200,492.14/300,805.34 = 65,562.43/x
  3. Step 3: Cross multiply
    200,492.14x = 300,805.34 × 65,562.43
  4. Step 4: Simplify right side
    200,492.14x = 19,721,529,047.38
  5. Step 5: Solve for x
    x = 19,721,529,047.38/200,492.14
  6. Step 6: Final answer
    x = 98,365.60

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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.