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Finding the Fourth Proportional to 207,689.84, 311,534.80 and 65,549.50

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Solution

The fourth proportional to 207,689.84, 311,534.80 and 65,549.50 is: 98,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,689.84 : 311,534.80 = 65,549.50 : x
  2. Step 2: Convert to fraction form
    207,689.84/311,534.80 = 65,549.50/x
  3. Step 3: Cross multiply
    207,689.84x = 311,534.80 × 65,549.50
  4. Step 4: Simplify right side
    207,689.84x = 20,420,950,372.60
  5. Step 5: Solve for x
    x = 20,420,950,372.60/207,689.84
  6. Step 6: Final answer
    x = 98,324.26

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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.