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Finding the Fourth Proportional to 207,654.94, 311,554.65 and 65,522.14

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Solution

The fourth proportional to 207,654.94, 311,554.65 and 65,522.14 is: 98,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,654.94 : 311,554.65 = 65,522.14 : x
  2. Step 2: Convert to fraction form
    207,654.94/311,554.65 = 65,522.14/x
  3. Step 3: Cross multiply
    207,654.94x = 311,554.65 × 65,522.14
  4. Step 4: Simplify right side
    207,654.94x = 20,413,727,394.95
  5. Step 5: Solve for x
    x = 20,413,727,394.95/207,654.94
  6. Step 6: Final answer
    x = 98,306.00

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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.