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Finding the Fourth Proportional to 207,784.90, 311,695.04 and 65,592.14

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Solution

The fourth proportional to 207,784.90, 311,695.04 and 65,592.14 is: 98,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,784.90 : 311,695.04 = 65,592.14 : x
  2. Step 2: Convert to fraction form
    207,784.90/311,695.04 = 65,592.14/x
  3. Step 3: Cross multiply
    207,784.90x = 311,695.04 × 65,592.14
  4. Step 4: Simplify right side
    207,784.90x = 20,444,744,700.99
  5. Step 5: Solve for x
    x = 20,444,744,700.99/207,784.90
  6. Step 6: Final answer
    x = 98,393.79

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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.