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Finding the Fourth Proportional to 200,283.34, 300,434.72 and 65,347.15

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Solution

The fourth proportional to 200,283.34, 300,434.72 and 65,347.15 is: 98,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,283.34 : 300,434.72 = 65,347.15 : x
  2. Step 2: Convert to fraction form
    200,283.34/300,434.72 = 65,347.15/x
  3. Step 3: Cross multiply
    200,283.34x = 300,434.72 × 65,347.15
  4. Step 4: Simplify right side
    200,283.34x = 19,632,552,713.05
  5. Step 5: Solve for x
    x = 19,632,552,713.05/200,283.34
  6. Step 6: Final answer
    x = 98,023.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.