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Finding the Fourth Proportional to 207,065.34, 310,604.99 and 57,293.10

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Solution

The fourth proportional to 207,065.34, 310,604.99 and 57,293.10 is: 85,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,065.34 : 310,604.99 = 57,293.10 : x
  2. Step 2: Convert to fraction form
    207,065.34/310,604.99 = 57,293.10/x
  3. Step 3: Cross multiply
    207,065.34x = 310,604.99 × 57,293.10
  4. Step 4: Simplify right side
    207,065.34x = 17,795,522,466.10
  5. Step 5: Solve for x
    x = 17,795,522,466.10/207,065.34
  6. Step 6: Final answer
    x = 85,941.58

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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.